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31945447316664 = 23337191111996913
BaseRepresentation
bin1110100001101111000010…
…00010100001110010111000
311012002221210011001011101000
413100313201002201302320
513141343234003113124
6151535311430525000
76504660651626250
oct720674102416270
9135087704034330
1031945447316664
11a1a6a96215482
1236bb2a9806760
1314a959a97252b
147c624ca08960
153a5e938b86c9
hex1d0de10a1cb8

31945447316664 has 128 divisors (see below), whose sum is σ = 106751703744000. Its totient is φ = 8646887987712.

The previous prime is 31945447316641. The next prime is 31945447316669. The reversal of 31945447316664 is 46661374454913.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31945447316669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555969729 + ... + 556027184.

It is an arithmetic number, because the mean of its divisors is an integer number (833997685500).

Almost surely, 231945447316664 is an apocalyptic number.

It is an amenable number.

31945447316664 is an abundant number, since it is smaller than the sum of its proper divisors (74806256427336).

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

31945447316664 is a wasteful number, since it uses less digits than its factorization.

31945447316664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111996954 (or 1111996944 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 31945447316664 in words is "thirty-one trillion, nine hundred forty-five billion, four hundred forty-seven million, three hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 9576 14364 28728 1111996913 2223993826 3335990739 4447987652 6671981478 7783978391 8895975304 10007972217 13343962956 15567956782 20015944434 21127941347 23351935173 26687925912 30023916651 31135913564 40031888868 42255882694 46703870346 60047833302 62271827128 63383824041 70055805519 80063777736 84511765388 93407740692 120095666604 126767648082 140111611038 147895589429 169023530776 186815481384 190151472123 210167416557 240191333208 253535296164 280223222076 295791178858 380302944246 420334833114 443686768287 507070592328 560446444152 570454416369 591582357716 760605888492 840669666228 887373536574 1140908832738 1183164715432 1331060304861 1521211776984 1681339332456 1774747073148 2281817665476 2662120609722 3549494146296 3993180914583 4563635330952 5324241219444 7986361829166 10648482438888 15972723658332 31945447316664