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31680165840 = 2435145390847
BaseRepresentation
bin11101100000010010…
…001111011111010000
310000202211211011121120
4131200102033133100
51004340110301330
622315331522240
72201030652351
oct354022173720
9100684734546
1031680165840
111248769a544
126181759380
132cab4b887b
141767649d28
15c563b0c10
hex76048f7d0

31680165840 has 80 divisors (see below), whose sum is σ = 98277186048. Its totient is φ = 8442137088.

The previous prime is 31680165757. The next prime is 31680165871. The reversal of 31680165840 is 4856108613.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 31680165792 and 31680165801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303297 + ... + 394143.

Almost surely, 231680165840 is an apocalyptic number.

31680165840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31680165840 is an abundant number, since it is smaller than the sum of its proper divisors (66597020208).

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

31680165840 is a wasteful number, since it uses less digits than its factorization.

31680165840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92316 (or 92310 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 31680165840 in words is "thirty-one billion, six hundred eighty million, one hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1453 2906 4359 5812 7265 8718 11624 14530 17436 21795 23248 29060 34872 43590 58120 69744 87180 90847 116240 174360 181694 272541 348720 363388 454235 545082 726776 908470 1090164 1362705 1453552 1816940 2180328 2725410 3633880 4360656 5450820 7267760 10901640 21803280 132000691 264001382 396002073 528002764 660003455 792004146 1056005528 1320006910 1584008292 1980010365 2112011056 2640013820 3168016584 3960020730 5280027640 6336033168 7920041460 10560055280 15840082920 31680165840