Search a number
-
+
64680696976 = 24723122932
BaseRepresentation
bin111100001111010001…
…010001110010010000
320011221201010211220111
4330033101101302100
52024431224300401
645414111451104
74446563565400
oct741721216220
9204851124814
1064680696976
1125481626a75
1210651526a94
13613a3bcb7c
1431b8398800
151a38635e51
hexf0f451c90

64680696976 has 135 divisors (see below), whose sum is σ = 151149178233. Its totient is φ = 26734538880.

The previous prime is 64680696959. The next prime is 64680696989. The reversal of 64680696976 is 67969608646.

The square root of 64680696976 is 254324.

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

It can be written as a sum of positive squares in only one way, i.e., 61196864400 + 3483832576 = 247380^2 + 59024^2 .

It is a super-2 number, since 2×646806969762 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 220753086 + ... + 220753378.

Almost surely, 264680696976 is an apocalyptic number.

64680696976 is the 254324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64680696976

64680696976 is an abundant number, since it is smaller than the sum of its proper divisors (86468481257).

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

64680696976 is an equidigital number, since it uses as much as digits as its factorization.

64680696976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 67.

The spelling of 64680696976 in words is "sixty-four billion, six hundred eighty million, six hundred ninety-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 293 392 434 496 586 784 868 961 1172 1519 1736 1922 2051 2344 3038 3472 3844 4102 4688 6076 6727 7688 8204 9083 12152 13454 14357 15376 16408 18166 24304 26908 28714 32816 36332 47089 53816 57428 63581 72664 85849 94178 107632 114856 127162 145328 171698 188356 229712 254324 281573 343396 376712 445067 508648 563146 600943 686792 753424 890134 1017296 1126292 1201886 1373584 1780268 1971011 2252584 2403772 2661319 3560536 3942022 4206601 4505168 4807544 5322638 7121072 7884044 8413202 9615088 10645276 13797077 15768088 16826404 18629233 21290552 27594154 31536176 33652808 37258466 42581104 55188308 67305616 74516932 82500889 110376616 130404631 149033864 165001778 220753232 260809262 298067728 330003556 521618524 577506223 660007112 1043237048 1155012446 1320014224 2086474096 2310024892 4042543561 4620049784 8085087122 9240099568 16170174244 32340348488 64680696976