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31373079296 = 281331417417
BaseRepresentation
bin11101001101111110…
…110011001100000000
32222222102222120001212
4131031332303030000
51003223002014141
622225041545252
72160311526326
oct351576631400
988872876055
1031373079296
111233a315909
1260b6945228
132c5c9a9360
14173894dd16
15c394522eb
hex74dfb3300

31373079296 has 144 divisors (see below), whose sum is σ = 71323891968. Its totient is φ = 13669171200.

The previous prime is 31373079253. The next prime is 31373079299. The reversal of 31373079296 is 69297037313.

It is not an unprimeable number, because it can be changed into a prime (31373079299) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4226180 + ... + 4233596.

Almost surely, 231373079296 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 31373079296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35661945984).

31373079296 is an abundant number, since it is smaller than the sum of its proper divisors (39950812672).

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

31373079296 is a wasteful number, since it uses less digits than its factorization.

31373079296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7518 (or 7504 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 50.

The spelling of 31373079296 in words is "thirty-one billion, three hundred seventy-three million, seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 31 32 41 52 62 64 82 104 124 128 164 208 248 256 328 403 416 496 533 656 806 832 992 1066 1271 1312 1612 1664 1984 2132 2542 2624 3224 3328 3968 4264 5084 5248 6448 7417 7936 8528 10168 10496 12896 14834 16523 17056 20336 25792 29668 33046 34112 40672 51584 59336 66092 68224 81344 96421 103168 118672 132184 136448 162688 192842 229927 237344 264368 304097 325376 385684 459854 474688 528736 608194 771368 919708 949376 1057472 1216388 1542736 1839416 1898752 2114944 2432776 2989051 3085472 3678832 3953261 4229888 4865552 5978102 6170944 7357664 7906522 9427007 9731104 11956204 12341888 14715328 15813044 18854014 19462208 23912408 24683776 29430656 31626088 37708028 38924416 47824816 58861312 63252176 75416056 77848832 95649632 122551091 126504352 150832112 191299264 245102182 253008704 301664224 382598528 490204364 506017408 603328448 765197056 980408728 1012034816 1206656896 1960817456 2413313792 3921634912 7843269824 15686539648 31373079296