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31082468000 = 25537770617
BaseRepresentation
bin11100111100101010…
…001101001010100000
32222020012010222022112
4130330222031022200
51002124102434000
622140141054452
72150152422143
oct347452151240
988205128275
1031082468000
1112200274291
126035557428
132c14717acc
14170c10205a
15c1db9a235
hex73ca8d2a0

31082468000 has 48 divisors (see below), whose sum is σ = 76369633704. Its totient is φ = 12432985600.

The previous prime is 31082467993. The next prime is 31082468003. The reversal of 31082468000 is 86428013.

It can be written as a sum of positive squares in 4 ways, for example, as 15628000144 + 15454467856 = 125012^2 + 124316^2 .

It is a super-2 number, since 2×310824680002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (31082468003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3881309 + ... + 3889308.

Almost surely, 231082468000 is an apocalyptic number.

It is an amenable number.

31082468000 is an abundant number, since it is smaller than the sum of its proper divisors (45287165704).

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

31082468000 is an equidigital number, since it uses as much as digits as its factorization.

31082468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7770642 (or 7770624 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 31082468000 in words is "thirty-one billion, eighty-two million, four hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 7770617 15541234 31082468 38853085 62164936 77706170 124329872 155412340 194265425 248659744 310824680 388530850 621649360 777061700 971327125 1243298720 1554123400 1942654250 3108246800 3885308500 6216493600 7770617000 15541234000 31082468000