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46080959160 = 23351961421787
BaseRepresentation
bin101010111010101000…
…111010001010111000
311101221110110021021010
4222322220322022320
51223333211143120
633100322513520
73220633455465
oct527250721270
9141843407233
1046080959160
11185a7555725
128b205058a0
134464b56152
14233205266c
1512ea7b27e0
hexabaa3a2b8

46080959160 has 256 divisors, whose sum is σ = 148444070400. Its totient is φ = 11408947200.

The previous prime is 46080959131. The next prime is 46080959161. The reversal of 46080959160 is 6195908064.

46080959160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46080959161) 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, 58552287 + ... + 58553073.

It is an arithmetic number, because the mean of its divisors is an integer number (579859650).

Almost surely, 246080959160 is an apocalyptic number.

46080959160 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 46080959160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74222035200).

46080959160 is an abundant number, since it is smaller than the sum of its proper divisors (102363111240).

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

46080959160 is a wasteful number, since it uses less digits than its factorization.

46080959160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 46080959160 in words is "forty-six billion, eighty million, nine hundred fifty-nine thousand, one hundred sixty".