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2555680290408 = 233277171419637
BaseRepresentation
bin100101001100001010011…
…010100111011001101000
3100001022122202100101101200
4211030022122213121220
5313333013123243113
65234021402044200
7352433066016540
oct45141232473150
910038582311350
102555680290408
118a5948996613
123533841a9660
13156ccc20b93b
148b9a498c320
154672bed9873
hex2530a6a7668

2555680290408 has 96 divisors (see below), whose sum is σ = 8021853740160. Its totient is φ = 719909930880.

The previous prime is 2555680290347. The next prime is 2555680290419. The reversal of 2555680290408 is 8040920865552.

2555680290408 is a `hidden beast` number, since 2 + 5 + 556 + 80 + 2 + 9 + 0 + 4 + 0 + 8 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35674035 + ... + 35745602.

It is an arithmetic number, because the mean of its divisors is an integer number (83560976460).

Almost surely, 22555680290408 is an apocalyptic number.

2555680290408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2555680290408 is an abundant number, since it is smaller than the sum of its proper divisors (5466173449752).

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

2555680290408 is a wasteful number, since it uses less digits than its factorization.

2555680290408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71419727 (or 71419720 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 2555680290408 in words is "two trillion, five hundred fifty-five billion, six hundred eighty million, two hundred ninety thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 71 72 84 126 142 168 213 252 284 426 497 504 568 639 852 994 1278 1491 1704 1988 2556 2982 3976 4473 5112 5964 8946 11928 17892 35784 71419637 142839274 214258911 285678548 428517822 499937459 571357096 642776733 857035644 999874918 1285553466 1499812377 1714071288 1999749836 2571106932 2999624754 3999499672 4499437131 5070794227 5142213864 5999249508 8998874262 10141588454 11998499016 15212382681 17997748524 20283176908 30424765362 35495559589 35995497048 40566353816 45637148043 60849530724 70991119178 91274296086 106486678767 121699061448 141982238356 182548592172 212973357534 283964476712 319460036301 365097184344 425946715068 638920072602 851893430136 1277840145204 2555680290408