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31350676016 = 24112372691627
BaseRepresentation
bin11101001100101001…
…010101101000110000
32222220212211100112202
4131030221111220300
51003201233113031
622222521442332
72156620230542
oct351451255060
988825740482
1031350676016
1112328703a00
1260ab3403a8
132c5816408a
14173599b692
15c374c92cb
hex74ca55a30

31350676016 has 120 divisors (see below), whose sum is σ = 68867623440. Its totient is φ = 13805130240.

The previous prime is 31350676003. The next prime is 31350676057. The reversal of 31350676016 is 61067605313.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19268195 + ... + 19269821.

It is an arithmetic number, because the mean of its divisors is an integer number (573896862).

Almost surely, 231350676016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31350676016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34433811720).

31350676016 is an abundant number, since it is smaller than the sum of its proper divisors (37516947424).

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

31350676016 is a wasteful number, since it uses less digits than its factorization.

31350676016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The spelling of 31350676016 in words is "thirty-one billion, three hundred fifty million, six hundred seventy-six thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 121 148 176 242 269 296 407 484 538 592 814 968 1076 1627 1628 1936 2152 2959 3254 3256 4304 4477 5918 6508 6512 8954 9953 11836 13016 17897 17908 19906 23672 26032 32549 35794 35816 39812 47344 60199 65098 71588 71632 79624 109483 120398 130196 143176 159248 196867 218966 240796 260392 286352 393734 437663 437932 481592 520784 662189 787468 875326 875864 963184 1204313 1324378 1574936 1750652 1751728 2408626 2648756 3149872 3501304 4814293 4817252 5297512 7002608 7284079 9628586 9634504 10595024 14568158 16193531 19257172 19269008 29136316 32387062 38514344 52957223 58272632 64774124 77028688 105914446 116545264 129548248 178128841 211828892 259096496 356257682 423657784 712515364 847315568 1425030728 1959417251 2850061456 3918834502 7837669004 15675338008 31350676016