Search a number
-
+
426332233624 = 2311538910110169
BaseRepresentation
bin1100011010000110110…
…00011001111110011000
31111202102211022102202211
412031003120121332120
523441112022433444
6523504311204504
742541624123303
oct6150330317630
91452384272684
10426332233624
11154896482250
126a761976734
1331283b8737b
14168c545bb3a
15b153526c34
hex6343619f98

426332233624 has 128 divisors (see below), whose sum is σ = 907465032000. Its totient is φ = 186115072000.

The previous prime is 426332233619. The next prime is 426332233627.

426332233624 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426332233627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41919612 + ... + 41929780.

Almost surely, 2426332233624 is an apocalyptic number.

426332233624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426332233624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453732516000).

426332233624 is an abundant number, since it is smaller than the sum of its proper divisors (481132798376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

426332233624 is a wasteful number, since it uses less digits than its factorization.

426332233624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10429 (or 10425 counting only the distinct ones).

The product of its digits is 746496, while the sum is 40.

It can be divided in two parts, 426332 and 233624, that added together give a palindrome (659956).

The spelling of 426332233624 in words is "four hundred twenty-six billion, three hundred thirty-two million, two hundred thirty-three thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 53 88 89 101 106 178 202 212 356 404 424 583 712 808 979 1111 1166 1958 2222 2332 3916 4444 4664 4717 5353 7832 8888 8989 9434 10169 10706 17978 18868 20338 21412 35956 37736 40676 42824 51887 58883 71912 81352 98879 103774 111859 117766 197758 207548 223718 235532 395516 415096 447436 471064 476417 538957 791032 894872 905041 952834 1027069 1077914 1810082 1905668 2054138 2155828 3620164 3811336 4108276 4311656 5240587 5928527 7240328 8216552 9955451 10481174 11297759 11857054 19910902 20962348 22595518 23714108 39821804 41924696 45191036 47428216 47967173 54434657 79643608 90382072 91409141 95934346 108869314 182818282 191868692 217738628 365636564 383737384 435477256 527638903 598781227 731273128 1005500551 1055277806 1197562454 2011001102 2110555612 2395124908 4022002204 4221111224 4790249816 4844684473 8044004408 9689368946 19378737892 38757475784 53291529203 106583058406 213166116812 426332233624