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80107113024 = 263439312
BaseRepresentation
bin100101010011011000…
…0011000101001000000
321122202210122222110000
41022212300120221000
52303024410104044
6100444541240000
75534062140321
oct1124660305100
9248683588400
1080107113024
1130a78416744
1213637863000
1377283990c3
143c3d09c448
15213cacad69
hex12a6c18a40

80107113024 has 105 divisors (see below), whose sum is σ = 237523001331. Its totient is φ = 26695578240.

The previous prime is 80107113007. The next prime is 80107113029. The reversal of 80107113024 is 42031170108.

The square root of 80107113024 is 283032.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (80107113029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20376339 + ... + 20380269.

Almost surely, 280107113024 is an apocalyptic number.

80107113024 is the 283032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80107113024

80107113024 is an abundant number, since it is smaller than the sum of its proper divisors (157415888307).

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

80107113024 is an frugal number, since it uses more digits than its factorization.

80107113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

It can be divided in two parts, 80107 and 113024, that added together give a triangular number (193131 = T621).

The spelling of 80107113024 in words is "eighty billion, one hundred seven million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 3931 5184 7862 11793 15724 23586 31448 35379 47172 62896 70758 94344 106137 125792 141516 188688 212274 251584 283032 318411 377376 424548 566064 636822 754752 849096 1132128 1273644 1698192 2264256 2547288 3396384 5094576 6792768 10189152 15452761 20378304 30905522 46358283 61811044 92716566 123622088 139074849 185433132 247244176 278149698 370866264 417224547 494488352 556299396 741732528 834449094 988976704 1112598792 1251673641 1483465056 1668898188 2225197584 2503347282 2966930112 3337796376 4450395168 5006694564 6675592752 8900790336 10013389128 13351185504 20026778256 26702371008 40053556512 80107113024