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45187112402496 = 2636311212
BaseRepresentation
bin10100100011000111100011…
…10010000111111001000000
312220222211211120001001000000
422101203301302013321000
521410321201233334441
6240034401201000000
712342442525014261
oct1221436162077100
9186884746031000
1045187112402496
1113441823a1aaa9
125099694623000
131c2a184972c4c
14b230d44b6968
155356492652b6
hex2918f1c87e40

45187112402496 has 147 divisors (see below), whose sum is σ = 134445083529793. Its totient is φ = 15061886807040.

The previous prime is 45187112402483. The next prime is 45187112402507. The reversal of 45187112402496 is 69420421178154.

The square root of 45187112402496 is 6722136.

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

45187112402496 is a `hidden beast` number, since 4 + 5 + 1 + 87 + 112 + 402 + 49 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23979982188096 + 21207130214400 = 4896936^2 + 4605120^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1451965816 + ... + 1451996936.

Almost surely, 245187112402496 is an apocalyptic number.

45187112402496 is the 6722136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45187112402496

45187112402496 is an abundant number, since it is smaller than the sum of its proper divisors (89257971127297).

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

45187112402496 is an frugal number, since it uses more digits than its factorization.

45187112402496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62272 (or 31126 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 45187112402496 in words is "forty-five trillion, one hundred eighty-seven billion, one hundred twelve million, four hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 31121 46656 62242 93363 124484 186726 248968 280089 373452 497936 560178 746904 840267 995872 1120356 1493808 1680534 1991744 2240712 2520801 2987616 3361068 4481424 5041602 5975232 6722136 7562403 8962848 10083204 13444272 15124806 17925696 20166408 22687209 26888544 30249612 40332816 45374418 53777088 60499224 80665632 90748836 120998448 161331264 181497672 241996896 362995344 483993792 725990688 968516641 1451981376 1937033282 2905549923 3874066564 5811099846 7748133128 8716649769 11622199692 15496266256 17433299538 23244399384 26149949307 30992532512 34866599076 46488798768 52299898614 61985065024 69733198152 78449847921 92977597536 104599797228 139466396304 156899695842 185955195072 209199594456 235349543763 278932792608 313799391684 418399188912 470699087526 557865585216 627598783368 706048631289 836798377824 941398175052 1255197566736 1412097262578 1673596755648 1882796350104 2510395133472 2824194525156 3765592700208 5020790266944 5648389050312 7531185400416 11296778100624 15062370800832 22593556201248 45187112402496