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445284726492456 = 23342329876860339
BaseRepresentation
bin110010100111110111110110…
…1111100100100110100101000
32011101121210201012102201010000
41211033233231330210310220
5431331021104440224311
64215012551312423000
7162535521425014314
oct14517575574446450
92141553635381100
10445284726492456
11119977212613214
1241b371b5b47a60
1316160228608b36
147bd5c77d4cb44
153672d26ddc056
hex194fbedf24d28

445284726492456 has 80 divisors (see below), whose sum is σ = 1301436036410400. Its totient is φ = 141974840326176.

The previous prime is 445284726492443. The next prime is 445284726492521. The reversal of 445284726492456 is 654294627482544.

445284726492456 is a `hidden beast` number, since 4 + 4 + 5 + 2 + 8 + 472 + 64 + 92 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×4452847264924562 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14938415266 + ... + 14938445073.

It is an arithmetic number, because the mean of its divisors is an integer number (16267950455130).

Almost surely, 2445284726492456 is an apocalyptic number.

445284726492456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

445284726492456 is an abundant number, since it is smaller than the sum of its proper divisors (856151309917944).

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

445284726492456 is a wasteful number, since it uses less digits than its factorization.

445284726492456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29876860380 (or 29876860367 counting only the distinct ones).

The product of its digits is 3715891200, while the sum is 72.

The spelling of 445284726492456 in words is "four hundred forty-five trillion, two hundred eighty-four billion, seven hundred twenty-six million, four hundred ninety-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1656 1863 2484 3726 4968 7452 14904 29876860339 59753720678 89630581017 119507441356 179261162034 239014882712 268891743051 358522324068 537783486102 687167787797 717044648136 806675229153 1075566972204 1374335575594 1613350458306 2061503363391 2151133944408 2420025687459 2748671151188 3226700916612 4123006726782 4840051374918 5497342302376 6184510090173 6453401833224 8246013453564 9680102749836 12369020180346 16492026907128 18553530270519 19360205499672 24738040360692 37107060541038 49476080721384 55660590811557 74214121082076 111321181623114 148428242164152 222642363246228 445284726492456