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45147182640 = 2435743624961
BaseRepresentation
bin101010000010111110…
…110101011000110000
311022112101101111200120
4222002332311120300
51214430134321030
632423524450240
73155534502120
oct520276653060
9138471344616
1045147182640
111816845359a
1288bb849980
134346564871
142284022c80
151293813010
hexa82fb5630

45147182640 has 160 divisors (see below), whose sum is σ = 163670048256. Its totient is φ = 10079354880.

The previous prime is 45147182621. The next prime is 45147182653. The reversal of 45147182640 is 4628174154.

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

It is a junction number, because it is equal to n+sod(n) for n = 45147182592 and 45147182601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240241 + ... + 384720.

Almost surely, 245147182640 is an apocalyptic number.

45147182640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45147182640 is an abundant number, since it is smaller than the sum of its proper divisors (118522865616).

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

45147182640 is a wasteful number, since it uses less digits than its factorization.

45147182640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625027 (or 625021 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 45147182640 in words is "forty-five billion, one hundred forty-seven million, one hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 43 48 56 60 70 80 84 86 105 112 120 129 140 168 172 210 215 240 258 280 301 336 344 420 430 516 560 602 645 688 840 860 903 1032 1204 1290 1505 1680 1720 1806 2064 2408 2580 3010 3440 3612 4515 4816 5160 6020 7224 9030 10320 12040 14448 18060 24080 36120 72240 624961 1249922 1874883 2499844 3124805 3749766 4374727 4999688 6249610 7499532 8749454 9374415 9999376 12499220 13124181 14999064 17498908 18748830 21873635 24998440 26248362 26873323 29998128 34997816 37497660 43747270 49996880 52496724 53746646 65620905 69995632 74995320 80619969 87494540 104993448 107493292 131241810 134366615 149990640 161239938 174989080 188113261 209986896 214986584 262483620 268733230 322479876 349978160 376226522 403099845 429973168 524967240 537466460 564339783 644959752 752453044 806199690 940566305 1049934480 1074932920 1128679566 1289919504 1504906088 1612399380 1881132610 2149865840 2257359132 2821698915 3009812176 3224798760 3762265220 4514718264 5643397830 6449597520 7524530440 9029436528 11286795660 15049060880 22573591320 45147182640