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45347133285 = 3354310977121
BaseRepresentation
bin101010001110111001…
…100101011101100101
311100001022122001102000
4222032321211131211
51220332331231120
632455430235513
73163513162446
oct521671453545
9140038561360
1045347133285
1118260302463
1289567b5b99
134378b0255c
1422a27d12cd
1512a615c990
hexa8ee65765

45347133285 has 64 divisors (see below), whose sum is σ = 82578735360. Its totient is φ = 23597844480.

The previous prime is 45347133277. The next prime is 45347133353. The reversal of 45347133285 is 58233174354.

45347133285 is a `hidden beast` number, since 4 + 534 + 7 + 1 + 3 + 32 + 85 = 666.

It is not a de Polignac number, because 45347133285 - 23 = 45347133277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 45347133285.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6364525 + ... + 6371645.

It is an arithmetic number, because the mean of its divisors is an integer number (1290292740).

Almost surely, 245347133285 is an apocalyptic number.

45347133285 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45347133285 is a deficient number, since it is larger than the sum of its proper divisors (37231602075).

45347133285 is a wasteful number, since it uses less digits than its factorization.

45347133285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8275 (or 8269 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 45347133285 in words is "forty-five billion, three hundred forty-seven million, one hundred thirty-three thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 27 43 45 129 135 215 387 645 1097 1161 1935 3291 5485 5805 7121 9873 16455 21363 29619 35605 47171 49365 64089 106815 141513 148095 192267 235855 306203 320445 424539 707565 918609 961335 1273617 1531015 2122695 2755827 4593045 6368085 7811737 8267481 13779135 23435211 39058685 41337405 70305633 117176055 210916899 335904691 351528165 1007714073 1054584495 1679523455 3023142219 5038570365 9069426657 15115711095 45347133285