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312057415937 = 19499102132237
BaseRepresentation
bin1001000101010000001…
…00100100100100000001
31002211110211002012221202
410202220010210210001
520103043144302222
6355205053230545
731355034161441
oct4425004444401
91084424065852
10312057415937
11110385304363
125058b492455
1323571b47157
1411164628121
1581b5ec1892
hex48a8124901

312057415937 has 16 divisors (see below), whose sum is σ = 329472360000. Its totient is φ = 294742774080.

The previous prime is 312057415933. The next prime is 312057415939. The reversal of 312057415937 is 739514750213.

It is a cyclic number.

It is not a de Polignac number, because 312057415937 - 22 = 312057415933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312057415891 and 312057415900.

It is not an unprimeable number, because it can be changed into a prime (312057415933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9663983 + ... + 9696219.

It is an arithmetic number, because the mean of its divisors is an integer number (20592022500).

Almost surely, 2312057415937 is an apocalyptic number.

It is an amenable number.

312057415937 is a deficient number, since it is larger than the sum of its proper divisors (17414944063).

312057415937 is a wasteful number, since it uses less digits than its factorization.

312057415937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33776.

The product of its (nonzero) digits is 793800, while the sum is 47.

The spelling of 312057415937 in words is "three hundred twelve billion, fifty-seven million, four hundred fifteen thousand, nine hundred thirty-seven".

Divisors: 1 19 499 1021 9481 19399 32237 509479 612503 9680101 16086263 32913977 305638997 625365563 16424074523 312057415937