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46052844825064 = 23711372720059327
BaseRepresentation
bin10100111100010100000110…
…11101001110100111101000
320001001121102221022211011211
422132022003131032213220
522014012211233400224
6241540215043202504
712462131266131250
oct1236120335164750
9201047387284154
1046052844825064
11137459a1343770
1251b9424676434
131c909c2b8a2cc
14b52d8076a960
1554ce1818a894
hex29e28374e9e8

46052844825064 has 64 divisors (see below), whose sum is σ = 107684891688960. Its totient is φ = 17937851682240.

The previous prime is 46052844824981. The next prime is 46052844825101.

46052844825064 is nontrivially palindromic in base 10.

46052844825064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7733832 + ... + 12325495.

It is an arithmetic number, because the mean of its divisors is an integer number (1682576432640).

Almost surely, 246052844825064 is an apocalyptic number.

46052844825064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46052844825064 is an abundant number, since it is smaller than the sum of its proper divisors (61632046863896).

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

46052844825064 is a wasteful number, since it uses less digits than its factorization.

46052844825064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20063078 (or 20063074 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 58.

The spelling of 46052844825064 in words is "forty-six trillion, fifty-two billion, eight hundred forty-four million, eight hundred twenty-five thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 3727 7454 14908 26089 29816 40997 52178 81994 104356 163988 208712 286979 327976 573958 1147916 2295832 20059327 40118654 80237308 140415289 160474616 220652597 280830578 441305194 561661156 882610388 1123322312 1544568179 1765220776 3089136358 6178272716 12356545432 74761111729 149522223458 299044446916 523327782103 598088893832 822372229019 1046655564206 1644744458038 2093311128412 3289488916076 4186622256824 5756605603133 6578977832152 11513211206266 23026422412532 46052844825064