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45142001172 = 22324572743861
BaseRepresentation
bin101010000010101011…
…000100011000010100
311022112000122021001100
4222002223010120110
51214422323014142
632423221430100
73155442451602
oct520253043024
9138460567040
1045142001172
1118165534694
1288b9b6b330
13434546c2c8
142283474872
15129313cb4c
hexa82ac4614

45142001172 has 36 divisors (see below), whose sum is σ = 114358680436. Its totient is φ = 15014401920.

The previous prime is 45142001167. The next prime is 45142001189. The reversal of 45142001172 is 27110024154.

45142001172 is a `hidden beast` number, since 451 + 4 + 200 + 1 + 1 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30246775056 + 14895226116 = 173916^2 + 122046^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1355479 + ... + 1388382.

Almost surely, 245142001172 is an apocalyptic number.

It is an amenable number.

45142001172 is an abundant number, since it is smaller than the sum of its proper divisors (69216679264).

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

45142001172 is a wasteful number, since it uses less digits than its factorization.

45142001172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744328 (or 2744323 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 45142001172 in words is "forty-five billion, one hundred forty-two million, one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 457 914 1371 1828 2742 4113 5484 8226 16452 2743861 5487722 8231583 10975444 16463166 24694749 32926332 49389498 98778996 1253944477 2507888954 3761833431 5015777908 7523666862 11285500293 15047333724 22571000586 45142001172