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10802544396 = 22371714335279
BaseRepresentation
bin10100000111110000…
…11011111100001100
31000212211220010001220
422003320123330030
5134110422410041
64543532003340
7531461053350
oct120370337414
930784803056
1010802544396
114643833546
122115900550
131032051507
14746991460
15433588d66
hex283e1bf0c

10802544396 has 96 divisors (see below), whose sum is σ = 30528368640. Its totient is φ = 2902308864.

The previous prime is 10802544377. The next prime is 10802544419. The reversal of 10802544396 is 69344520801.

10802544396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2043685 + ... + 2048963.

It is an arithmetic number, because the mean of its divisors is an integer number (318003840).

Almost surely, 210802544396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10802544396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15264184320).

10802544396 is an abundant number, since it is smaller than the sum of its proper divisors (19725824244).

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

10802544396 is a wasteful number, since it uses less digits than its factorization.

10802544396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6743 (or 6741 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 10802544396 in words is "ten billion, eight hundred two million, five hundred forty-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 1433 2866 4299 5279 5732 8598 10031 10558 15837 17196 20062 21116 24361 30093 31674 36953 40124 48722 60186 63348 73083 73906 89743 97444 110859 120372 146166 147812 170527 179486 221718 269229 292332 341054 358972 443436 511581 538458 628201 682108 1023162 1076916 1256402 1884603 2046324 2512804 3769206 7538412 7564807 15129614 22694421 30259228 45388842 52953649 90777684 105907298 128601719 158860947 211814596 257203438 317721894 385805157 514406876 635443788 771610314 900212033 1543220628 1800424066 2700636099 3600848132 5401272198 10802544396