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31071539968 = 2871071311237
BaseRepresentation
bin11100111100000000…
…100001001100000000
32222012102120202212121
4130330000201030000
51002113303234333
622135110534024
72146660506040
oct347400411400
988172522777
1031071539968
11121a508a957
126031967314
132c1238ca11
14170a899720
15c1cc3c32d
hex73c021300

31071539968 has 144 divisors (see below), whose sum is σ = 72148817664. Its totient is φ = 13080637440.

The previous prime is 31071539957. The next prime is 31071540083. The reversal of 31071539968 is 86993517013.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25117846 + ... + 25119082.

It is an arithmetic number, because the mean of its divisors is an integer number (501033456).

Almost surely, 231071539968 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 31071539968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36074408832).

31071539968 is an abundant number, since it is smaller than the sum of its proper divisors (41077277696).

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

31071539968 is a wasteful number, since it uses less digits than its factorization.

31071539968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 31071539968 in words is "thirty-one billion, seventy-one million, five hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 128 131 214 224 256 262 428 448 524 749 856 896 917 1048 1237 1498 1712 1792 1834 2096 2474 2996 3424 3668 4192 4948 5992 6848 7336 8384 8659 9896 11984 13696 14017 14672 16768 17318 19792 23968 27392 28034 29344 33536 34636 39584 47936 56068 58688 69272 79168 95872 98119 112136 117376 132359 138544 158336 162047 191744 196238 224272 234752 264718 277088 316672 324094 392476 448544 529436 554176 648188 784952 897088 926513 1058872 1108352 1134329 1296376 1569904 1794176 1853026 2117744 2216704 2268658 2592752 3139808 3588352 3706052 4235488 4537316 5185504 6279616 7412104 8470976 9074632 10371008 12559232 14824208 16941952 17339029 18149264 20742016 25118464 29648416 33883904 34678058 36298528 41484032 59296832 69356116 72597056 118593664 121373203 138712232 145194112 237187328 242746406 277424464 290388224 485492812 554848928 970985624 1109697856 1941971248 2219395712 3883942496 4438791424 7767884992 15535769984 31071539968