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45842321280 = 2735723314639
BaseRepresentation
bin101010101100011010…
…100100111110000000
311101022211102012122010
4222230122210332000
51222341113240110
633020520012520
73212005205310
oct525432447600
9141284365563
1045842321280
1118494882538
128a74601140
1344275912c2
14230c493440
1512d4875020
hexaac6a4f80

45842321280 has 256 divisors, whose sum is σ = 167725209600. Its totient is φ = 10432561152.

The previous prime is 45842321257. The next prime is 45842321339. The reversal of 45842321280 is 8212324854.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3124201 + ... + 3138839.

It is an arithmetic number, because the mean of its divisors is an integer number (655176600).

Almost surely, 245842321280 is an apocalyptic number.

45842321280 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 45842321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83862604800).

45842321280 is an abundant number, since it is smaller than the sum of its proper divisors (121882888320).

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

45842321280 is a wasteful number, since it uses less digits than its factorization.

45842321280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14901 (or 14889 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 45842321280 in words is "forty-five billion, eight hundred forty-two million, three hundred twenty-one thousand, two hundred eighty".