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45613702499376 = 24311199495187683
BaseRepresentation
bin10100101111100010001001…
…00010001100110000110000
312222111121221100120021122210
422113301010202030300300
521434313330314440001
6241002351243132120
712415324033012524
oct1227610442146060
9188447840507583
1045613702499376
1113596731a06780
1251482a8814040
131c5b47a093b0b
14b39a01c99d84
155417b5225dd6
hex297c4488cc30

45613702499376 has 160 divisors (see below), whose sum is σ = 129221243596800. Its totient is φ = 13749940512000.

The previous prime is 45613702499353. The next prime is 45613702499377. The reversal of 45613702499376 is 67399420731654.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (45613702499377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520167631 + ... + 520255313.

It is an arithmetic number, because the mean of its divisors is an integer number (807632772480).

Almost surely, 245613702499376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45613702499376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64610621798400).

45613702499376 is an abundant number, since it is smaller than the sum of its proper divisors (83607541097424).

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

45613702499376 is a wasteful number, since it uses less digits than its factorization.

45613702499376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92855 (or 92849 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 66.

The spelling of 45613702499376 in words is "forty-five trillion, six hundred thirteen billion, seven hundred two million, four hundred ninety-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 199 264 398 528 597 796 1194 1592 2189 2388 3184 4378 4776 4951 6567 8756 9552 9902 13134 14853 17512 19804 26268 29706 35024 39608 52536 54461 59412 79216 87683 105072 108922 118824 163383 175366 217844 237648 263049 326766 350732 435688 526098 653532 701464 871376 964513 985249 1052196 1307064 1402928 1929026 1970498 2104392 2614128 2893539 2955747 3858052 3940996 4208784 5787078 5911494 7716104 7881992 10837739 11574156 11822988 15432208 15763984 17448917 21675478 23148312 23645976 32513217 34897834 43350956 46296624 47291952 52346751 65026434 69795668 86701912 104693502 130052868 139591336 173403824 191938087 209387004 260105736 279182672 383876174 418774008 434118533 520211472 575814261 767752348 837548016 868237066 1151628522 1302355599 1535504696 1736474132 2303257044 2604711198 3071009392 3472948264 4606514088 4775303863 5209422396 6945896528 9213028176 9550607726 10418844792 14325911589 19101215452 20837689584 28651823178 38202430904 57303646356 76404861808 86389588067 114607292712 172779176134 229214585424 259168764201 345558352268 518337528402 691116704536 950285468737 1036675056804 1382233409072 1900570937474 2073350113608 2850856406211 3801141874948 4146700227216 5701712812422 7602283749896 11403425624844 15204567499792 22806851249688 45613702499376