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45151572480 = 29357839873
BaseRepresentation
bin101010000011001111…
…100101001000000000
311022112200122112102020
4222003033211020000
51214432300304410
632424202521440
73155620014360
oct520317451000
9138480575366
1045151572480
111816a981763
128901206280
1343474409c1
1422848469a0
151293dcda70
hexa833e5200

45151572480 has 160 divisors (see below), whose sum is σ = 164964691584. Its totient is φ = 10320347136.

The previous prime is 45151572463. The next prime is 45151572503. The reversal of 45151572480 is 8427515154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 366177 + ... + 473696.

Almost surely, 245151572480 is an apocalyptic number.

45151572480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45151572480 is an abundant number, since it is smaller than the sum of its proper divisors (119813119104).

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

45151572480 is an equidigital number, since it uses as much as digits as its factorization.

45151572480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839906 (or 839890 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The spelling of 45151572480 in words is "forty-five billion, one hundred fifty-one million, five hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 839873 1679746 2519619 3359492 4199365 5039238 5879111 6718984 8398730 10078476 11758222 12598095 13437968 16797460 17637333 20156952 23516444 25196190 26875936 29395555 33594920 35274666 40313904 47032888 50392380 53751872 58791110 67189840 70549332 80627808 88186665 94065776 100784760 107503744 117582220 134379680 141098664 161255616 176373330 188131552 201569520 215007488 235164440 268759360 282197328 322511232 352746660 376263104 403139040 430014976 470328880 537518720 564394656 645022464 705493320 752526208 806278080 940657760 1075037440 1128789312 1290044928 1410986640 1505052416 1612556160 1881315520 2150074880 2257578624 2821973280 3010104832 3225112320 3762631040 4515157248 5643946560 6450224640 7525262080 9030314496 11287893120 15050524160 22575786240 45151572480