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631312506960 = 24356143122439
BaseRepresentation
bin10010010111111010010…
…10000110000001010000
32020100112020212012221020
421023331022012001100
540320412000210320
61202004305555440
763416340524532
oct11137512060120
92210466765836
10631312506960
112238134a7523
12a2429345b80
13476bcc19235
14227acb47852
151164dd07940
hex92fd286050

631312506960 has 80 divisors (see below), whose sum is σ = 1989151912320. Its totient is φ = 165590161920.

The previous prime is 631312506863. The next prime is 631312506961. The reversal of 631312506960 is 69605213136.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631312506961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21546580 + ... + 21575859.

It is an arithmetic number, because the mean of its divisors is an integer number (24864398904).

Almost surely, 2631312506960 is an apocalyptic number.

631312506960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

631312506960 is an abundant number, since it is smaller than the sum of its proper divisors (1357839405360).

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

631312506960 is a wasteful number, since it uses less digits than its factorization.

631312506960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43122516 (or 43122510 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 631312506960 in words is "six hundred thirty-one billion, three hundred twelve million, five hundred six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 43122439 86244878 129367317 172489756 215612195 258734634 344979512 431224390 517469268 646836585 689959024 862448780 1034938536 1293673170 1724897560 2069877072 2587346340 2630468779 3449795120 5174692680 5260937558 7891406337 10349385360 10521875116 13152343895 15782812674 21043750232 26304687790 31565625348 39457031685 42087500464 52609375580 63131250696 78914063370 105218751160 126262501392 157828126740 210437502320 315656253480 631312506960