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31176336420 = 22325173201869
BaseRepresentation
bin11101000010010000…
…010010010000100100
32222110201202222120200
4131002100102100210
51002322120231140
622153333030500
72152402326045
oct350220222044
988421688520
1031176336420
1112249257a99
126060a85430
132c2acc2758
14171a7788cc
15c2703d030
hex742412424

31176336420 has 36 divisors (see below), whose sum is σ = 94568221020. Its totient is φ = 8313689664.

The previous prime is 31176336361. The next prime is 31176336421. The reversal of 31176336420 is 2463367113.

31176336420 is a `hidden beast` number, since 3 + 1 + 1 + 7 + 6 + 3 + 3 + 642 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7581533184 + 23594803236 = 87072^2 + 153606^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31176336421) 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 11 ways as a sum of consecutive naturals, for example, 86600755 + ... + 86601114.

Almost surely, 231176336420 is an apocalyptic number.

31176336420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31176336420 is an abundant number, since it is smaller than the sum of its proper divisors (63391884600).

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

31176336420 is a wasteful number, since it uses less digits than its factorization.

31176336420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173201884 (or 173201879 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 31176336420 in words is "thirty-one billion, one hundred seventy-six million, three hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 173201869 346403738 519605607 692807476 866009345 1039211214 1558816821 1732018690 2078422428 2598028035 3117633642 3464037380 5196056070 6235267284 7794084105 10392112140 15588168210 31176336420