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31746120896 = 267293178823
BaseRepresentation
bin11101100100001101…
…110101110011000000
310000221102221000221102
4131210031311303000
51010004001332041
622330045313532
72202461401220
oct354415656300
9100842830842
1031746120896
1112510948556
12619b8658a8
132cbc06c229
1417722d8080
15c5c08d09b
hex764375cc0

31746120896 has 112 divisors (see below), whose sum is σ = 76881776640. Its totient is φ = 12712412160.

The previous prime is 31746120877. The next prime is 31746120919. The reversal of 31746120896 is 69802164713.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 31746120896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363341 + ... + 442163.

Almost surely, 231746120896 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 31746120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38440888320).

31746120896 is an abundant number, since it is smaller than the sum of its proper divisors (45135655744).

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

31746120896 is a wasteful number, since it uses less digits than its factorization.

31746120896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78902 (or 78892 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 31746120896 in words is "thirty-one billion, seven hundred forty-six million, one hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 31 32 56 58 62 64 112 116 124 203 217 224 232 248 406 434 448 464 496 812 868 899 928 992 1624 1736 1798 1856 1984 3248 3472 3596 6293 6496 6944 7192 12586 12992 13888 14384 25172 28768 50344 57536 78823 100688 157646 201376 315292 402752 551761 630584 1103522 1261168 2207044 2285867 2443513 2522336 4414088 4571734 4887026 5044672 8828176 9143468 9774052 16001069 17104591 17656352 18286936 19548104 32002138 34209182 35312704 36573872 39096208 64004276 68418364 70861877 73147744 78192416 128008552 136836728 141723754 146295488 156384832 256017104 273673456 283447508 496033139 512034208 547346912 566895016 992066278 1024068416 1094693824 1133790032 1984132556 2267580064 3968265112 4535160128 7936530224 15873060448 31746120896