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31127987904 = 26313172712707
BaseRepresentation
bin11100111111010111…
…110110011011000000
32222100100210121212220
4130333113312123000
51002222231103104
622144444451040
72151244350216
oct347727663300
988310717786
1031127987904
1112223a35042
126048849a80
132c20c94c70
141714190cb6
15c22b8c7d9
hex73f5f66c0

31127987904 has 224 divisors, whose sum is σ = 94293513216. Its totient is φ = 8977858560.

The previous prime is 31127987873. The next prime is 31127987977. The reversal of 31127987904 is 40978972113.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11497719 + ... + 11500425.

It is an arithmetic number, because the mean of its divisors is an integer number (420953184).

Almost surely, 231127987904 is an apocalyptic number.

31127987904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31127987904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47146756608).

31127987904 is an abundant number, since it is smaller than the sum of its proper divisors (63165525312).

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

31127987904 is a wasteful number, since it uses less digits than its factorization.

31127987904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 31127987904 in words is "thirty-one billion, one hundred twenty-seven million, nine hundred eighty-seven thousand, nine hundred four".