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45994770432 = 21534133143
BaseRepresentation
bin101010110101100000…
…001000000000000000
311101201110021102120000
4222311200020000000
51223144130123212
633044003320000
73215536045422
oct526540100000
9141643242500
1045994770432
1118562937876
128ab7680000
134450039bc0
142324818812
1512e2e3a1dc
hexab5808000

45994770432 has 640 divisors, whose sum is σ = 156310936320. Its totient is φ = 13377208320.

The previous prime is 45994770403. The next prime is 45994770449. The reversal of 45994770432 is 23407749954.

45994770432 is a `hidden beast` number, since 4 + 59 + 94 + 7 + 70 + 432 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1069645803 + ... + 1069645845.

It is an arithmetic number, because the mean of its divisors is an integer number (244235838).

Almost surely, 245994770432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45994770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78155468160).

45994770432 is an abundant number, since it is smaller than the sum of its proper divisors (110316165888).

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

45994770432 is an equidigital number, since it uses as much as digits as its factorization.

45994770432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 45994770432 in words is "forty-five billion, nine hundred ninety-four million, seven hundred seventy thousand, four hundred thirty-two".