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31744468992 = 21132329767
BaseRepresentation
bin11101100100000111…
…100010100000000000
310000221022211002221210
4131210013202200000
51010003041001432
622325550050120
72202441351165
oct354407424000
9100838732853
1031744468992
111250aa1a445
12619b1a9940
132cbb911382
141771dc806c
15c5bd638cc
hex7641e2800

31744468992 has 144 divisors (see below), whose sum is σ = 88479911520. Its totient is φ = 10120388608.

The previous prime is 31744468979. The next prime is 31744468993. The reversal of 31744468992 is 29986444713.

It is a super-2 number, since 2×317444689922 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31744468993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3245293 + ... + 3255059.

It is an arithmetic number, because the mean of its divisors is an integer number (614443830).

Almost surely, 231744468992 is an apocalyptic number.

31744468992 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 31744468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44239955760).

31744468992 is an abundant number, since it is smaller than the sum of its proper divisors (56735442528).

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

31744468992 is an equidigital number, since it uses as much as digits as its factorization.

31744468992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9838 (or 9795 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The spelling of 31744468992 in words is "thirty-one billion, seven hundred forty-four million, four hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 529 552 736 768 1024 1058 1104 1472 1536 1587 2048 2116 2208 2944 3072 3174 4232 4416 5888 6144 6348 8464 8832 9767 11776 12696 16928 17664 19534 23552 25392 29301 33856 35328 39068 47104 50784 58602 67712 70656 78136 101568 117204 135424 141312 156272 203136 224641 234408 270848 312544 406272 449282 468816 541696 625088 673923 812544 898564 937632 1083392 1250176 1347846 1625088 1797128 1875264 2500352 2695692 3250176 3594256 3750528 5000704 5166743 5391384 7188512 7501056 10001408 10333486 10782768 14377024 15002112 15500229 20002816 20666972 21565536 28754048 30004224 31000458 41333944 43131072 57508096 60008448 62000916 82667888 86262144 115016192 124001832 165335776 172524288 230032384 248003664 330671552 345048576 460064768 496007328 661343104 690097152 992014656 1322686208 1380194304 1984029312 2645372416 3968058624 5290744832 7936117248 10581489664 15872234496 31744468992