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1058861352164 = 22711171012002249
BaseRepresentation
bin11110110100010010000…
…11100000010011100100
310202020002212102221001012
433122021003200103210
5114322022001232124
62130233441321352
7136333366663520
oct17321103402344
93666085387035
101058861352164
113790736a0a90
1215126a636258
1378b08b62ac5
143936b9bad80
151c82404be0e
hexf6890e04e4

1058861352164 has 96 divisors (see below), whose sum is σ = 2470360032000. Its totient is φ = 384431616000.

The previous prime is 1058861352163. The next prime is 1058861352167. The reversal of 1058861352164 is 4612531688501.

It is a super-2 number, since 2×10588613521642 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1058861352163) 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 31 ways as a sum of consecutive naturals, for example, 472289 + ... + 1529960.

It is an arithmetic number, because the mean of its divisors is an integer number (25732917000).

Almost surely, 21058861352164 is an apocalyptic number.

1058861352164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1058861352164 is an abundant number, since it is smaller than the sum of its proper divisors (1411498679836).

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

1058861352164 is a wasteful number, since it uses less digits than its factorization.

1058861352164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002389 (or 2002387 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 50.

The spelling of 1058861352164 in words is "one trillion, fifty-eight billion, eight hundred sixty-one million, three hundred fifty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 101 119 154 187 202 238 308 374 404 476 707 748 1111 1309 1414 1717 2222 2618 2828 3434 4444 5236 6868 7777 12019 15554 18887 24038 31108 37774 48076 75548 132209 264418 528836 2002249 4004498 8008996 14015743 22024739 28031486 34038233 44049478 56062972 68076466 88098956 136152932 154173173 202227149 238267631 308346346 374420563 404454298 476535262 616692692 748841126 808908596 953070524 1415590043 1497682252 2224498639 2620943941 2831180086 3437861533 4448997278 5241887882 5662360172 6875723066 8897994556 10483775764 13751446132 15571490473 24065030731 31142980946 37816476863 48130061462 62285961892 75632953726 96260122924 151265907452 264715338041 529430676082 1058861352164