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45417163008 = 283717496949
BaseRepresentation
bin101010010011000100…
…101110100100000000
311100020012101221010110
4222103010232210000
51221003243204013
632510411231320
73165323341650
oct522304564400
9140205357113
1045417163008
1118296893868
128976148540
13438a481769
1422abc20360
1512ac3922c3
hexa9312e900

45417163008 has 144 divisors (see below), whose sum is σ = 146270275200. Its totient is φ = 12212994048.

The previous prime is 45417162997. The next prime is 45417163013. The reversal of 45417163008 is 80036171454.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 157083 + ... + 339866.

It is an arithmetic number, because the mean of its divisors is an integer number (1015765800).

Almost surely, 245417163008 is an apocalyptic number.

45417163008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45417163008 is an abundant number, since it is smaller than the sum of its proper divisors (100853112192).

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

45417163008 is a wasteful number, since it uses less digits than its factorization.

45417163008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496992 (or 496978 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 45417163008 in words is "forty-five billion, four hundred seventeen million, one hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 544 672 714 768 816 896 952 1088 1344 1428 1632 1792 1904 2176 2688 2856 3264 3808 4352 5376 5712 6528 7616 11424 13056 15232 22848 30464 45696 91392 496949 993898 1490847 1987796 2981694 3478643 3975592 5963388 6957286 7951184 8448133 10435929 11926776 13914572 15902368 16896266 20871858 23853552 25344399 27829144 31804736 33792532 41743716 47707104 50688798 55658288 59136931 63609472 67585064 83487432 95414208 101377596 111316576 118273862 127218944 135170128 166974864 177410793 190828416 202755192 222633152 236547724 270340256 333949728 354821586 381656832 405510384 445266304 473095448 540680512 667899456 709643172 811020768 890532608 946190896 1081361024 1335798912 1419286344 1622041536 1892381792 2162722048 2671597824 2838572688 3244083072 3784763584 5677145376 6488166144 7569527168 11354290752 15139054336 22708581504 45417163008