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5664561553512 = 233360037436811
BaseRepresentation
bin101001001101110001000…
…1011011110000001101000
3202001112020000220220201000
41102123202023132001220
51220302010224203022
620014132540555000
71123152054522531
oct122334213360150
922045200826630
105664561553512
11189436635a854
127759b6252a60
13321220527534
1415824824d688
159c5354dd6ac
hex526e22de068

5664561553512 has 64 divisors (see below), whose sum is σ = 15735191313600. Its totient is φ = 1888151411520.

The previous prime is 5664561553501. The next prime is 5664561553591. The reversal of 5664561553512 is 2153551654665.

5664561553512 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 5 + 615 + 5 + 3 + 5 + 12 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 12749587 + ... + 13186397.

It is an arithmetic number, because the mean of its divisors is an integer number (245862364275).

Almost surely, 25664561553512 is an apocalyptic number.

It is an amenable number.

5664561553512 is an abundant number, since it is smaller than the sum of its proper divisors (10070629760088).

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

5664561553512 is a wasteful number, since it uses less digits than its factorization.

5664561553512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496863 (or 496853 counting only the distinct ones).

The product of its digits is 16200000, while the sum is 54.

The spelling of 5664561553512 in words is "five trillion, six hundred sixty-four billion, five hundred sixty-one million, five hundred fifty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 60037 120074 180111 240148 360222 436811 480296 540333 720444 873622 1080666 1310433 1440888 1620999 1747244 2161332 2620866 3241998 3494488 3931299 4322664 5241732 6483996 7862598 10483464 11793897 12967992 15725196 23587794 31450392 47175588 94351176 26224822007 52449644014 78674466021 104899288028 157348932042 209798576056 236023398063 314697864084 472046796126 629395728168 708070194189 944093592252 1416140388378 1888187184504 2832280776756 5664561553512