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31028164992 = 27331117411171
BaseRepresentation
bin11100111001011011…
…000011100110000000
32222002101222002121000
4130321123003212000
51002021202234432
622130521132000
72145623023266
oct347133034600
988071862530
1031028164992
1112182654670
12601b32a000
132c063b3c56
141704c08436
15c1902057c
hex7396c3980

31028164992 has 512 divisors, whose sum is σ = 108450316800. Its totient is φ = 8626176000.

The previous prime is 31028164949. The next prime is 31028165027. The reversal of 31028164992 is 29946182013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26496567 + ... + 26497737.

It is an arithmetic number, because the mean of its divisors is an integer number (211817025).

Almost surely, 231028164992 is an apocalyptic number.

31028164992 is a gapful number since it is divisible by the number (32) 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 31028164992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54225158400).

31028164992 is an abundant number, since it is smaller than the sum of its proper divisors (77422151808).

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

31028164992 is a wasteful number, since it uses less digits than its factorization.

31028164992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 31028164992 in words is "thirty-one billion, twenty-eight million, one hundred sixty-four thousand, nine hundred ninety-two".