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11065352064 = 273132170509
BaseRepresentation
bin10100100111000101…
…11101111110000000
31001120011102010102020
422103202331332000
5140130212231224
65030000521440
7541131640434
oct122342757600
931504363366
1011065352064
114769114868
122189920280
131074629700
1476d8429c4
1544b69cc79
hex2938bdf80

11065352064 has 96 divisors (see below), whose sum is σ = 31827396600. Its totient is φ = 3404703744.

The previous prime is 11065352063. The next prime is 11065352083. The reversal of 11065352064 is 46025356011.

11065352064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11065352063) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20359 + ... + 150150.

Almost surely, 211065352064 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 11065352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15913698300).

11065352064 is an abundant number, since it is smaller than the sum of its proper divisors (20762044536).

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

11065352064 is a wasteful number, since it uses less digits than its factorization.

11065352064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170552 (or 170527 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 11065352064 in words is "eleven billion, sixty-five million, three hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2496 2704 4056 4992 5408 8112 10816 16224 21632 32448 64896 170509 341018 511527 682036 1023054 1364072 2046108 2216617 2728144 4092216 4433234 5456288 6649851 8184432 8866468 10912576 13299702 16368864 17732936 21825152 26599404 28816021 32737728 35465872 53198808 57632042 65475456 70931744 86448063 106397616 115264084 141863488 172896126 212795232 230528168 283726976 345792252 425590464 461056336 691584504 851180928 922112672 1383169008 1844225344 2766338016 3688450688 5532676032 11065352064