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645373828224 = 27322272467931
BaseRepresentation
bin10010110010000110100…
…01110001110010000000
32021200211012201100110200
421121003101301302000
541033211200000344
61212251452525200
764424652012336
oct11310321616200
92250735640420
10645373828224
11229779779294
12a50b2480800
1348b21148588
1423344423b56
1511bc3500069
hex9643471c80

645373828224 has 96 divisors (see below), whose sum is σ = 1865312364240. Its totient is φ = 214176837120.

The previous prime is 645373828223. The next prime is 645373828277. The reversal of 645373828224 is 422828373546.

645373828224 is a `hidden beast` number, since 6 + 4 + 5 + 37 + 382 + 8 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (645373828223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 972462 + ... + 1495469.

Almost surely, 2645373828224 is an apocalyptic number.

645373828224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

645373828224 is an abundant number, since it is smaller than the sum of its proper divisors (1219938536016).

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

645373828224 is a wasteful number, since it uses less digits than its factorization.

645373828224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468178 (or 2468163 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 645373828224 in words is "six hundred forty-five billion, three hundred seventy-three million, eight hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 227 288 384 454 576 681 908 1152 1362 1816 2043 2724 3632 4086 5448 7264 8172 10896 14528 16344 21792 29056 32688 43584 65376 87168 130752 261504 2467931 4935862 7403793 9871724 14807586 19743448 22211379 29615172 39486896 44422758 59230344 78973792 88845516 118460688 157947584 177691032 236921376 315895168 355382064 473842752 560220337 710764128 947685504 1120440674 1421528256 1680661011 2240881348 2843056512 3361322022 4481762696 5041983033 6722644044 8963525392 10083966066 13445288088 17927050784 20167932132 26890576176 35854101568 40335864264 53781152352 71708203136 80671728528 107562304704 161343457056 215124609408 322686914112 645373828224