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31372713312 = 253439917669
BaseRepresentation
bin11101001101111101…
…011001110101100000
32222222102021222000220
4131031331121311200
51003222403311222
622225030043040
72160305443323
oct351575316540
988872258026
1031372713312
111233a095946
1260b67a9480
132c5c8ab8b5
1417388967ba
15c393cdb5c
hex74df59d60

31372713312 has 96 divisors (see below), whose sum is σ = 84364600320. Its totient is φ = 10202734080.

The previous prime is 31372713283. The next prime is 31372713377. The reversal of 31372713312 is 21331727313.

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

It is a congruent number.

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, 4087014 + ... + 4094682.

It is an arithmetic number, because the mean of its divisors is an integer number (878797920).

Almost surely, 231372713312 is an apocalyptic number.

31372713312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31372713312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42182300160).

31372713312 is an abundant number, since it is smaller than the sum of its proper divisors (52991887008).

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

31372713312 is a wasteful number, since it uses less digits than its factorization.

31372713312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8716 (or 8708 counting only the distinct ones).

The product of its digits is 15876, while the sum is 33.

The spelling of 31372713312 in words is "thirty-one billion, three hundred seventy-two million, seven hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 991 1032 1376 1982 2064 2973 3964 4128 5946 7669 7928 11892 15338 15856 23007 23784 30676 31712 42613 46014 47568 61352 85226 92028 95136 122704 127839 170452 184056 245408 255678 329767 340904 368112 511356 659534 681808 736224 989301 1022712 1319068 1363616 1978602 2045424 2638136 3957204 4090848 5276272 7599979 7914408 10552544 15199958 15828816 22799937 30399916 31657632 45599874 60799832 91199748 121599664 182399496 243199328 326799097 364798992 653598194 729597984 980397291 1307196388 1960794582 2614392776 3921589164 5228785552 7843178328 10457571104 15686356656 31372713312