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45940047648705 = 3257581325088839
BaseRepresentation
bin10100111001000010000000…
…01110001001011111000001
320000122211021220112120012100
422130201000032021133001
522010140204144224310
6241412322212221013
712451026131012550
oct1234410016113701
9200584256476170
1045940047648705
1113702079274661
12519b5a500a769
131c83188011482
14b4b71dc99d97
1554a015714ec0
hex29c8403897c1

45940047648705 has 48 divisors (see below), whose sum is σ = 91020705834240. Its totient is φ = 20997551009664.

The previous prime is 45940047648637. The next prime is 45940047648751. The reversal of 45940047648705 is 50784674004954.

45940047648705 is a `hidden beast` number, since 4 + 5 + 94 + 0 + 0 + 476 + 4 + 8 + 70 + 5 = 666.

It is not a de Polignac number, because 45940047648705 - 224 = 45940030871489 is a prime.

It is a super-2 number, since 2×459400476487052 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10713325 + ... + 14375514.

It is an arithmetic number, because the mean of its divisors is an integer number (1896264704880).

Almost surely, 245940047648705 is an apocalyptic number.

45940047648705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45940047648705 is a deficient number, since it is larger than the sum of its proper divisors (45080658185535).

45940047648705 is a wasteful number, since it uses less digits than its factorization.

45940047648705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25094670 (or 25094667 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 45940047648705 in words is "forty-five trillion, nine hundred forty billion, forty-seven million, six hundred forty-eight thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 5813 17439 29065 40691 52317 87195 122073 203455 261585 366219 610365 1831095 25088839 75266517 125444195 175621873 225799551 376332585 526865619 878109365 1128997755 1580596857 2634328095 7902984285 145841421107 437524263321 729207105535 1020889947749 1312572789963 2187621316605 3062669843247 5104449738745 6562863949815 9188009529741 15313349216235 45940047648705