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45099955152 = 2432726391717
BaseRepresentation
bin101010000000001010…
…101011001111010000
311022102002112002202100
4222000022223033100
51214331042031102
632415120320400
73154422202500
oct520012531720
9138362462670
1045099955152
111814382690a
1288a7a73100
13433983a3c5
14227ba4ba00
15128e5d4a1c
hexa802ab3d0

45099955152 has 90 divisors (see below), whose sum is σ = 146824154178. Its totient is φ = 12885699456.

The previous prime is 45099955123. The next prime is 45099955157. The reversal of 45099955152 is 25155999054.

45099955152 is a `hidden beast` number, since 450 + 9 + 9 + 95 + 51 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23218445376 + 21881509776 = 152376^2 + 147924^2 .

It is a super-2 number, since 2×450999551522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45099955157) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3188803 + ... + 3202914.

Almost surely, 245099955152 is an apocalyptic number.

45099955152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45099955152 is an abundant number, since it is smaller than the sum of its proper divisors (101724199026).

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

45099955152 is a wasteful number, since it uses less digits than its factorization.

45099955152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6391745 (or 6391729 counting only the distinct ones).

The product of its (nonzero) digits is 3645000, while the sum is 54.

The spelling of 45099955152 in words is "forty-five billion, ninety-nine million, nine hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 6391717 12783434 19175151 25566868 38350302 44742019 51133736 57525453 76700604 89484038 102267472 115050906 134226057 153401208 178968076 230101812 268452114 306802416 313194133 357936152 402678171 460203624 536904228 626388266 715872304 805356342 920407248 939582399 1073808456 1252776532 1610712684 1879164798 2147616912 2505553064 2818747197 3221425368 3758329596 5011106128 5637494394 6442850736 7516659192 11274988788 15033318384 22549977576 45099955152