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379305069156 = 223213810480917
BaseRepresentation
bin1011000010100000101…
…10000000101001100100
31100021001102101221211200
411201100112000221210
522203304044203111
6450130024002500
736255350614446
oct5412026005144
91307042357750
10379305069156
11136953906572
1261618600430
13299cacaa730
14145038a2496
159ceeb5c256
hex5850580a64

379305069156 has 36 divisors (see below), whose sum is σ = 1032552689532. Its totient is φ = 116709251904.

The previous prime is 379305069151. The next prime is 379305069173. The reversal of 379305069156 is 651960503973.

379305069156 is a `hidden beast` number, since 37 + 93 + 0 + 506 + 9 + 15 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123538190400 + 255766878756 = 351480^2 + 505734^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (379305069151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405239991 + ... + 405240926.

Almost surely, 2379305069156 is an apocalyptic number.

379305069156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

379305069156 is an abundant number, since it is smaller than the sum of its proper divisors (653247620376).

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

379305069156 is a wasteful number, since it uses less digits than its factorization.

379305069156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810480940 (or 810480935 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 54.

The spelling of 379305069156 in words is "three hundred seventy-nine billion, three hundred five million, sixty-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 810480917 1620961834 2431442751 3241923668 4862885502 7294328253 9725771004 10536251921 14588656506 21072503842 29177313012 31608755763 42145007684 63217511526 94826267289 126435023052 189652534578 379305069156