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45016061364 = 2234433231127
BaseRepresentation
bin101001111011001010…
…101001010110110100
311022012020122212010000
4221323022221112310
51214143102430424
632402522231300
73152353131261
oct517312512664
9138166585100
1045016061364
11181004361aa
128883955530
134325345901
142270850268
1512870623c9
hexa7b2a95b4

45016061364 has 60 divisors (see below), whose sum is σ = 120417678304. Its totient is φ = 14656387536.

The previous prime is 45016061351. The next prime is 45016061381. The reversal of 45016061364 is 46316061054.

It is a happy number.

45016061364 is a `hidden beast` number, since 4 + 501 + 60 + 61 + 36 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1601632 + ... + 1629495.

Almost surely, 245016061364 is an apocalyptic number.

It is an amenable number.

45016061364 is an abundant number, since it is smaller than the sum of its proper divisors (75401616940).

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

45016061364 is a wasteful number, since it uses less digits than its factorization.

45016061364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231186 (or 3231175 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 45016061364 in words is "forty-five billion, sixteen million, sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 2322 3483 4644 6966 13932 3231127 6462254 9693381 12924508 19386762 29080143 38773524 58160286 87240429 116320572 138938461 174480858 261721287 277876922 348961716 416815383 523442574 555753844 833630766 1046885148 1250446149 1667261532 2500892298 3751338447 5001784596 7502676894 11254015341 15005353788 22508030682 45016061364