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45423660480 = 26351123296449
BaseRepresentation
bin101010010011011101…
…100000110111000000
311100020122122000222120
4222103131200313000
51221011424113410
632511202404240
73165432513012
oct522335406700
9140218560876
1045423660480
111829a521480
128978360680
13438b918013
1422aca321b2
1512acc27570
hexa93760dc0

45423660480 has 448 divisors, whose sum is σ = 169858944000. Its totient is φ = 10168238080.

The previous prime is 45423660461. The next prime is 45423660481. The reversal of 45423660480 is 8406632454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45423660481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7040296 + ... + 7046744.

Almost surely, 245423660480 is an apocalyptic number.

45423660480 is a gapful number since it is divisible by the number (40) 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 45423660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84929472000).

45423660480 is an abundant number, since it is smaller than the sum of its proper divisors (124435283520).

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

45423660480 is a wasteful number, since it uses less digits than its factorization.

45423660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532 (or 6522 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 45423660480 in words is "forty-five billion, four hundred twenty-three million, six hundred sixty thousand, four hundred eighty".