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10795337064 = 23324110313547
BaseRepresentation
bin10100000110111001…
…11100010101101000
31000212100022221110200
422003130330111220
5134102101241224
64543113312200
7531342564621
oct120334742550
930770287420
1010795337064
11463a760576
122113405660
1310306c9b15
14745a36a48
15432b135c9
hex28373c568

10795337064 has 96 divisors (see below), whose sum is σ = 29987979840. Its totient is φ = 3506284800.

The previous prime is 10795337057. The next prime is 10795337089. The reversal of 10795337064 is 46073359701.

10795337064 is a `hidden beast` number, since 107 + 9 + 533 + 7 + 0 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3041739 + ... + 3045285.

It is an arithmetic number, because the mean of its divisors is an integer number (312374790).

Almost surely, 210795337064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10795337064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14993989920).

10795337064 is an abundant number, since it is smaller than the sum of its proper divisors (19192642776).

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

10795337064 is a wasteful number, since it uses less digits than its factorization.

10795337064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 10795337064 in words is "ten billion, seven hundred ninety-five million, three hundred thirty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1031 1476 2062 2952 3093 3547 4124 6186 7094 8248 9279 10641 12372 14188 18558 21282 24744 28376 31923 37116 42271 42564 63846 74232 84542 85128 126813 127692 145427 169084 253626 255384 290854 338168 380439 436281 507252 581708 760878 872562 1014504 1163416 1308843 1521756 1745124 2617686 3043512 3490248 3656957 5235372 7313914 10470744 10970871 14627828 21941742 29255656 32912613 43883484 65825226 87766968 131650452 149935237 263300904 299870474 449805711 599740948 899611422 1199481896 1349417133 1799222844 2698834266 3598445688 5397668532 10795337064