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31446052792 = 23711297124793
BaseRepresentation
bin11101010010010101…
…001010111110111000
310000011112021222212221
4131102111022332320
51003400142142132
622240210013424
72162156016130
oct352225127670
9100145258787
1031446052792
1112377527990
126117277274
132c71b4943b
141744507ac0
15c40a68e97
hex75254afb8

31446052792 has 128 divisors (see below), whose sum is σ = 77119257600. Its totient is φ = 11662156800.

The previous prime is 31446052783. The next prime is 31446052793. The reversal of 31446052792 is 29725064413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31446052793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1255948 + ... + 1280740.

It is an arithmetic number, because the mean of its divisors is an integer number (602494200).

Almost surely, 231446052792 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 31446052792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38559628800).

31446052792 is an abundant number, since it is smaller than the sum of its proper divisors (45673204808).

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

31446052792 is a wasteful number, since it uses less digits than its factorization.

31446052792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24917 (or 24913 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 31446052792 in words is "thirty-one billion, four hundred forty-six million, fifty-two thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 71 77 88 116 142 154 203 232 284 308 319 406 497 568 616 638 781 812 994 1276 1562 1624 1988 2059 2233 2552 3124 3976 4118 4466 5467 6248 8236 8932 10934 14413 16472 17864 21868 22649 24793 28826 43736 45298 49586 57652 90596 99172 115304 158543 173551 181192 198344 272723 317086 347102 545446 634172 694204 718997 1090892 1268344 1388408 1437994 1760303 1909061 2181784 2875988 3520606 3818122 5032979 5751976 7041212 7636244 7908967 10065958 12322121 14082424 15272488 15817934 19363333 20131916 24644242 31635868 38726666 40263832 49288484 51048787 55362769 63271736 77453332 98576968 102097574 110725538 135543331 154906664 204195148 221451076 271086662 357341509 408390296 442902152 542173324 561536657 714683018 1084346648 1123073314 1429366036 2246146628 2858732072 3930756599 4492293256 7861513198 15723026396 31446052792