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31133550304 = 2517137419997
BaseRepresentation
bin11100111111101101…
…000100011011100000
32222100202021020001201
4130333231010123200
51002230142102204
622145204010544
72151342545143
oct347755043340
988322236051
1031133550304
111222709416a
12604a690a54
132c22191a1c
141714bdc05a
15c233da9a4
hex73fb446e0

31133550304 has 96 divisors (see below), whose sum is σ = 65595186720. Its totient is φ = 14494875648.

The previous prime is 31133550289. The next prime is 31133550313. The reversal of 31133550304 is 40305533113.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31226734 + ... + 31227730.

It is an arithmetic number, because the mean of its divisors is an integer number (683283195).

Almost surely, 231133550304 is an apocalyptic number.

31133550304 is a gapful number since it is divisible by the number (34) 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 31133550304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32797593360).

31133550304 is an abundant number, since it is smaller than the sum of its proper divisors (34461636416).

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

31133550304 is a wasteful number, since it uses less digits than its factorization.

31133550304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The spelling of 31133550304 in words is "thirty-one billion, one hundred thirty-three million, five hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 137 272 274 419 544 548 838 997 1096 1676 1994 2192 2329 3352 3988 4384 4658 6704 7123 7976 9316 13408 14246 15952 16949 18632 28492 31904 33898 37264 56984 57403 67796 74528 113968 114806 135592 136589 227936 229612 271184 273178 417743 459224 542368 546356 835486 918448 975851 1092712 1670972 1836896 1951702 2185424 2322013 3341944 3903404 4370848 4644026 6683888 7101631 7806808 9288052 13367776 14203262 15613616 18576104 28406524 31227232 37152208 56813048 57230791 74304416 113626096 114461582 227252192 228923164 457846328 915692656 972923447 1831385312 1945846894 3891693788 7783387576 15566775152 31133550304