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31680746280 = 2332588002073
BaseRepresentation
bin11101100000010100…
…011101001100101000
310000202212220122211100
4131200110131030220
51004340232340110
622315352201400
72201035620531
oct354024351450
9100685818740
1031680746280
1112487a56647
126181999260
132cab65cb21
14176775b688
15c56477bc0
hex76051d328

31680746280 has 48 divisors (see below), whose sum is σ = 102962426580. Its totient is φ = 8448198912.

The previous prime is 31680746261. The next prime is 31680746297. The reversal of 31680746280 is 8264708613.

31680746280 is a `hidden beast` number, since 3 + 16 + 8 + 0 + 7 + 4 + 628 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30177943524 + 1502802756 = 173718^2 + 38766^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44000677 + ... + 44001396.

Almost surely, 231680746280 is an apocalyptic number.

31680746280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31680746280 is an abundant number, since it is smaller than the sum of its proper divisors (71281680300).

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

31680746280 is a wasteful number, since it uses less digits than its factorization.

31680746280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88002090 (or 88002083 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 31680746280 in words is "thirty-one billion, six hundred eighty million, seven hundred forty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 88002073 176004146 264006219 352008292 440010365 528012438 704016584 792018657 880020730 1056024876 1320031095 1584037314 1760041460 2112049752 2640062190 3168074628 3520082920 3960093285 5280124380 6336149256 7920186570 10560248760 15840373140 31680746280