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45764342874 = 2332364756951
BaseRepresentation
bin101010100111110001…
…000111010001011010
311101010101200111101000
4222213301013101122
51222211132432444
633005052405430
73210040332105
oct524761072132
9141111614330
1045764342874
1118454862178
128a52476876
13441438b133
142301d9573c
1512ccac0469
hexaa7c4745a

45764342874 has 64 divisors (see below), whose sum is σ = 106286100480. Its totient is φ = 14568721200.

The previous prime is 45764342863. The next prime is 45764342879. The reversal of 45764342874 is 47824346754.

45764342874 is a `hidden beast` number, since 4 + 576 + 43 + 4 + 28 + 7 + 4 = 666.

45764342874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45764342874.

It is not an unprimeable number, because it can be changed into a prime (45764342879) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775099 + ... + 832049.

It is an arithmetic number, because the mean of its divisors is an integer number (1660720320).

Almost surely, 245764342874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45764342874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53143050240).

45764342874 is an abundant number, since it is smaller than the sum of its proper divisors (60521757606).

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

45764342874 is a wasteful number, since it uses less digits than its factorization.

45764342874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57632 (or 57626 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 54.

The spelling of 45764342874 in words is "forty-five billion, seven hundred sixty-four million, three hundred forty-two thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 647 1242 1294 1941 3882 5823 11646 14881 17469 29762 34938 44643 56951 89286 113902 133929 170853 267858 341706 401787 512559 803574 1025118 1309873 1537677 2619746 3075354 3929619 7859238 11788857 23577714 35366571 36847297 70733142 73694594 110541891 221083782 331625673 663251346 847487831 994877019 1694975662 1989754038 2542463493 5084926986 7627390479 15254780958 22882171437 45764342874