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130723060173624 = 23322193782764191
BaseRepresentation
bin11101101110010001010101…
…100100001100101100111000
3122010212000001211021212210100
4131232101111210030230320
5114113231311401023444
61142005202250515400
736351300202604052
oct3556212544145470
9563760054255710
10130723060173624
113871a37a585656
12127b3008435b60
1357c31933bc279
14243d05bd768d2
15101a617d99e69
hex76e45590cb38

130723060173624 has 48 divisors (see below), whose sum is σ = 354057764598720. Its totient is φ = 43572366524160.

The previous prime is 130723060173619. The next prime is 130723060173659. The reversal of 130723060173624 is 426371060327031.

130723060173624 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 2 + 3 + 0 + 6 + 0 + 17 + 3 + 624 = 666.

It is a super-2 number, since 2×1307230601736242 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130723060173624.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 39802632 + ... + 42961559.

It is an arithmetic number, because the mean of its divisors is an integer number (7376203429140).

Almost surely, 2130723060173624 is an apocalyptic number.

It is an amenable number.

130723060173624 is an abundant number, since it is smaller than the sum of its proper divisors (223334704425096).

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

130723060173624 is a wasteful number, since it uses less digits than its factorization.

130723060173624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82786140 (or 82786133 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 130723060173624 in words is "one hundred thirty trillion, seven hundred twenty-three billion, sixty million, one hundred seventy-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 21937 43874 65811 87748 131622 175496 197433 263244 394866 526488 789732 1579464 82764191 165528382 248292573 331056764 496585146 662113528 744877719 993170292 1489755438 1986340584 2979510876 5959021752 1815598057967 3631196115934 5446794173901 7262392231868 10893588347802 14524784463736 16340382521703 21787176695604 32680765043406 43574353391208 65361530086812 130723060173624