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31094940672 = 210323374017
BaseRepresentation
bin11100111101011001…
…110010010000000000
32222021001121122121100
4130331121302100000
51002140301100142
622141304254400
72150363430465
oct347531622000
988231548540
1031094940672
1112207313184
126039771400
132c17193ca3
14170da2b66c
15c1ed10b4c
hex73d672400

31094940672 has 66 divisors (see below), whose sum is σ = 89785992998. Its totient is φ = 10364977152.

The previous prime is 31094940661. The next prime is 31094940683. The reversal of 31094940672 is 27604949013.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31094940661) and next prime (31094940683).

It can be written as a sum of positive squares in only one way, i.e., 23563478016 + 7531462656 = 153504^2 + 86784^2 .

It is a super-3 number, since 3×310949406723 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1677793 + ... + 1696224.

Almost surely, 231094940672 is an apocalyptic number.

31094940672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31094940672 is an abundant number, since it is smaller than the sum of its proper divisors (58691052326).

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

31094940672 is a wasteful number, since it uses less digits than its factorization.

31094940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374043 (or 3374022 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 31094940672 in words is "thirty-one billion, ninety-four million, nine hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 3374017 6748034 10122051 13496068 20244102 26992136 30366153 40488204 53984272 60732306 80976408 107968544 121464612 161952816 215937088 242929224 323905632 431874176 485858448 647811264 863748352 971716896 1295622528 1727496704 1943433792 2591245056 3454993408 3886867584 5182490112 7773735168 10364980224 15547470336 31094940672