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64766178064 = 24726121492
BaseRepresentation
bin111100010100010111…
…010111001100010000
320012011122222201220201
4330110113113030100
52030120120144224
645430403544544
74451652300400
oct742427271420
9205148881821
1064766178064
11255159011a5
121067608b154
13615201bcb3
1431c588a800
151a40dbda44
hexf145d7310

64766178064 has 135 divisors (see below), whose sum is σ = 149406622911. Its totient is φ = 27118667520.

The previous prime is 64766178031. The next prime is 64766178079. The reversal of 64766178064 is 46087166746.

The square root of 64766178064 is 254492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 48176738064 + 16589440000 = 219492^2 + 128800^2 .

It is a junction number, because it is equal to n+sod(n) for n = 64766177996 and 64766178014.

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 26 ways as a sum of consecutive naturals, for example, 434672262 + ... + 434672410.

Almost surely, 264766178064 is an apocalyptic number.

64766178064 is the 254492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64766178064

64766178064 is an abundant number, since it is smaller than the sum of its proper divisors (84640444847).

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

64766178064 is an equidigital number, since it uses as much as digits as its factorization.

64766178064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 55.

The spelling of 64766178064 in words is "sixty-four billion, seven hundred sixty-six million, one hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 149 196 244 298 392 427 488 596 784 854 976 1043 1192 1708 2086 2384 2989 3416 3721 4172 5978 6832 7301 7442 8344 9089 11956 14602 14884 16688 18178 22201 23912 26047 29204 29768 36356 44402 47824 52094 58408 59536 63623 72712 88804 104188 116816 127246 145424 155407 177608 182329 208376 254492 310814 355216 364658 416752 445361 508984 554429 621628 729316 890722 1017968 1087849 1108858 1243256 1354261 1458632 1781444 2175698 2217716 2486512 2708522 2917264 3562888 3881003 4351396 4435432 5417044 7125776 7762006 8702792 8870864 9479827 10834088 15524012 17405584 18959654 21668176 27167021 31048024 37919308 54334042 62096048 66358789 75838616 82609921 108668084 132717578 151677232 165219842 217336168 265435156 330439684 434672336 530870312 578269447 660879368 1061740624 1156538894 1321758736 2313077788 4047886129 4626155576 8095772258 9252311152 16191544516 32383089032 64766178064