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31217410768 = 2467127467491
BaseRepresentation
bin11101000100101100…
…111110001011010000
32222120121001202222211
4131010230332023100
51002413124121033
622201401241504
72153411420245
oct350454761320
988517052884
1031217410768
111226a461835
126072793294
132c366742bb
141721dcb5cc
15c2a9532cd
hex744b3e2d0

31217410768 has 80 divisors (see below), whose sum is σ = 62128594944. Its totient is φ = 15191003520.

The previous prime is 31217410751. The next prime is 31217410787. The reversal of 31217410768 is 86701471213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 31217410768.

It is a congruent number.

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, 63579003 + ... + 63579493.

Almost surely, 231217410768 is an apocalyptic number.

It is an amenable number.

31217410768 is a deficient number, since it is larger than the sum of its proper divisors (30911184176).

31217410768 is a wasteful number, since it uses less digits than its factorization.

31217410768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 31217410768 in words is "thirty-one billion, two hundred seventeen million, four hundred ten thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 67 127 134 254 268 467 491 508 536 934 982 1016 1072 1868 1964 2032 3736 3928 7472 7856 8509 17018 31289 32897 34036 59309 62357 62578 65794 68072 118618 124714 125156 131588 136144 229297 237236 249428 250312 263176 458594 474472 498856 500624 526352 917188 948944 997712 1834376 3668752 3973703 4177919 7947406 8355838 15362899 15894812 16711676 29120719 30725798 31789624 33423352 58241438 61451596 63579248 66846704 116482876 122903192 232965752 245806384 465931504 1951088173 3902176346 7804352692 15608705384 31217410768