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45786831552 = 2633711344117
BaseRepresentation
bin101010101001000110…
…111001101011000000
311101011222000001001000
4222221012321223000
51222232412102202
633011214412000
73210432434550
oct525106715300
9141158001030
1045786831552
1118466522260
128a59b01000
134418c33247
142304d6b160
1512cea6391c
hexaa91b9ac0

45786831552 has 224 divisors, whose sum is σ = 167819466240. Its totient is φ = 11892648960.

The previous prime is 45786831551. The next prime is 45786831557. The reversal of 45786831552 is 25513868754.

45786831552 is a `hidden beast` number, since 4 + 5 + 7 + 8 + 6 + 83 + 1 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (45786831551) 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, 39003 + ... + 305114.

Almost surely, 245786831552 is an apocalyptic number.

45786831552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45786831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83909733120).

45786831552 is an abundant number, since it is smaller than the sum of its proper divisors (122032634688).

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

45786831552 is a wasteful number, since it uses less digits than its factorization.

45786831552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344156 (or 344140 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 45786831552 in words is "forty-five billion, seven hundred eighty-six million, eight hundred thirty-one thousand, five hundred fifty-two".