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31257116467104 = 2531131954823939
BaseRepresentation
bin1110001101101100111010…
…10100101101111110100000
311002200011002012010000201010
413012312131110231332200
513044104033303421404
6150251153203540520
76404152325142423
oct706663524557640
9132604065100633
1031257116467104
119a61083413270
123609a0908a740
1314596c1c5a748
147a0bd13db9ba
15393108ecc189
hex1c6d9d52dfa0

31257116467104 has 96 divisors (see below), whose sum is σ = 92396403025920. Its totient is φ = 9166309804800.

The previous prime is 31257116467039. The next prime is 31257116467111. The reversal of 31257116467104 is 40176461175213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477379234 + ... + 477444705.

It is an arithmetic number, because the mean of its divisors is an integer number (962462531520).

Almost surely, 231257116467104 is an apocalyptic number.

It is an amenable number.

31257116467104 is an abundant number, since it is smaller than the sum of its proper divisors (61139286558816).

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

31257116467104 is a wasteful number, since it uses less digits than its factorization.

31257116467104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954823994 (or 954823986 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 31257116467104 in words is "thirty-one trillion, two hundred fifty-seven billion, one hundred sixteen million, four hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 4092 5456 8184 10912 16368 32736 954823939 1909647878 2864471817 3819295756 5728943634 7638591512 10503063329 11457887268 15277183024 21006126658 22915774536 29599542109 30554366048 31509189987 42012253316 45831549072 59199084218 63018379974 84024506632 88798626327 91663098144 118398168436 126036759948 168049013264 177597252654 236796336872 252073519896 325594963199 336098026528 355194505308 473592673744 504147039792 651189926398 710389010616 947185347488 976784889597 1008294079584 1302379852796 1420778021232 1953569779194 2604759705592 2841556042464 3907139558388 5209519411184 7814279116776 10419038822368 15628558233552 31257116467104