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312690939067 = 13217535773559
BaseRepresentation
bin1001000110011011101…
…01010001010010111011
31002220002222011112022101
410203031311101102323
520110342340022232
6355352004004231
731406526061603
oct4431565212273
91086088145271
10312690939067
1111067a9796a1
1250727690677
132364317c500
14111c4819c03
1582019121e7
hex48cdd514bb

312690939067 has 48 divisors (see below), whose sum is σ = 366011887680. Its totient is φ = 265996763136.

The previous prime is 312690939059. The next prime is 312690939073. The reversal of 312690939067 is 760939096213.

It is not a de Polignac number, because 312690939067 - 23 = 312690939059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312690938999 and 312690939017.

It is not an unprimeable number, because it can be changed into a prime (312690939167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87857434 + ... + 87860992.

It is an arithmetic number, because the mean of its divisors is an integer number (7625247660).

Almost surely, 2312690939067 is an apocalyptic number.

312690939067 is a deficient number, since it is larger than the sum of its proper divisors (53320948613).

312690939067 is a wasteful number, since it uses less digits than its factorization.

312690939067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4219 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 55.

The spelling of 312690939067 in words is "three hundred twelve billion, six hundred ninety million, nine hundred thirty-nine thousand, sixty-seven".

Divisors: 1 13 17 53 169 221 577 689 901 2873 3559 7501 8957 9809 11713 30581 46267 60503 97513 127517 152269 188627 397553 519877 601471 786539 1657721 2053543 2452151 3206659 5168189 6758401 10225007 26696059 31877963 34910231 41686567 87859213 108837779 347048767 453833003 541925371 1414891127 1850242243 5899829039 18393584651 24053149159 312690939067