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312004006056 = 23332371609221
BaseRepresentation
bin1001000101001001110…
…00110101000010101000
31002211100002120201101000
410202210320311002220
520102441011143211
6355155504355000
731353515202501
oct4424470650250
91084302521330
10312004006056
11110358144766
1250575615a60
1323563a66982
141115b4c3ba8
1581b1471656
hex48a4e350a8

312004006056 has 64 divisors (see below), whose sum is σ = 867044750400. Its totient is φ = 103957300800.

The previous prime is 312004005953. The next prime is 312004006079. The reversal of 312004006056 is 650600400213.

312004006056 is a `hidden beast` number, since 3 + 1 + 200 + 400 + 6 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207526 + ... + 816746.

It is an arithmetic number, because the mean of its divisors is an integer number (13547574225).

Almost surely, 2312004006056 is an apocalyptic number.

312004006056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

312004006056 is an abundant number, since it is smaller than the sum of its proper divisors (555040744344).

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

312004006056 is a wasteful number, since it uses less digits than its factorization.

312004006056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611607 (or 611597 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 312004006056 its reverse (650600400213), we get a palindrome (962604406269).

The spelling of 312004006056 in words is "three hundred twelve billion, four million, six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2371 4742 7113 9484 14226 18968 21339 28452 42678 56904 64017 85356 128034 170712 256068 512136 609221 1218442 1827663 2436884 3655326 4873768 5482989 7310652 10965978 14621304 16448967 21931956 32897934 43863912 65795868 131591736 1444462991 2888925982 4333388973 5777851964 8666777946 11555703928 13000166919 17333555892 26000333838 34667111784 39000500757 52000667676 78001001514 104001335352 156002003028 312004006056