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2555436345552 = 243311971494141
BaseRepresentation
bin100101001011111011111…
…000000010100011010000
3100001022000202022200222000
4211023323320002203100
5313332013201024202
65233541245314000
7352424044354206
oct45137370024320
910038022280860
102555436345552
118a58332191a2
12353316565900
13156c9080937c
148b98040b076
154671589e91c
hex252fbe028d0

2555436345552 has 80 divisors (see below), whose sum is σ = 7335676349760. Its totient is φ = 851739235200.

The previous prime is 2555436345509. The next prime is 2555436345559.

2555436345552 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 43 + 6 + 3 + 45 + 552 = 666.

2555436345552 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555436345559) 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 15 ways as a sum of consecutive naturals, for example, 4924402 + ... + 5418542.

It is an arithmetic number, because the mean of its divisors is an integer number (91695954372).

Almost surely, 22555436345552 is an apocalyptic number.

It is an amenable number.

2555436345552 is an abundant number, since it is smaller than the sum of its proper divisors (4780240004208).

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

2555436345552 is a wasteful number, since it uses less digits than its factorization.

2555436345552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506129 (or 506117 counting only the distinct ones).

The product of its digits is 54000000, while the sum is 54.

The spelling of 2555436345552 in words is "two trillion, five hundred fifty-five billion, four hundred thirty-six million, three hundred forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 11971 23942 35913 47884 71826 95768 107739 143652 191536 215478 287304 323217 430956 494141 574608 646434 861912 988282 1292868 1482423 1723824 1976564 2585736 2964846 3953128 4447269 5171472 5929692 7906256 8894538 11859384 13341807 17789076 23718768 26683614 35578152 53367228 71156304 106734456 213468912 5915361911 11830723822 17746085733 23661447644 35492171466 47322895288 53238257199 70984342932 94645790576 106476514398 141968685864 159714771597 212953028796 283937371728 319429543194 425906057592 638859086388 851812115184 1277718172776 2555436345552