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426136979920 = 2455779231737
BaseRepresentation
bin1100011001101111011…
…11100100100111010000
31111201221012220112001011
412030313233210213100
523440212031324140
6523433054220304
742534033364441
oct6146757444720
91451835815034
10426136979920
111547a6241253
126a7084b4694
13312525a2532
14168a75532c8
15b141308cea
hex6337be49d0

426136979920 has 40 divisors (see below), whose sum is σ = 992485688904. Its totient is φ = 170159357952.

The previous prime is 426136979899. The next prime is 426136979929. The reversal of 426136979920 is 29979631624.

It can be written as a sum of positive squares in 4 ways, for example, as 168710633536 + 257426346384 = 410744^2 + 507372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426136979929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4569709 + ... + 4662028.

Almost surely, 2426136979920 is an apocalyptic number.

426136979920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426136979920 is an abundant number, since it is smaller than the sum of its proper divisors (566348708984).

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

426136979920 is a wasteful number, since it uses less digits than its factorization.

426136979920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9232327 (or 9232321 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 58.

The spelling of 426136979920 in words is "four hundred twenty-six billion, one hundred thirty-six million, nine hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 577 1154 2308 2885 4616 5770 9232 11540 23080 46160 9231737 18463474 36926948 46158685 73853896 92317370 147707792 184634740 369269480 738538960 5326712249 10653424498 21306848996 26633561245 42613697992 53267122490 85227395984 106534244980 213068489960 426136979920