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46453039920 = 24345717107563
BaseRepresentation
bin101011010000110100…
…010010001100110000
311102220101120221010000
4223100310102030300
51230113434234140
633201253510000
73233102216160
oct532064221460
9142811527100
1046453039920
1118778591491
129005042300
1344c3c70891
14236962a5a0
15131d2ada30
hexad0d12330

46453039920 has 800 divisors, whose sum is σ = 197407507968. Its totient is φ = 9882279936.

The previous prime is 46453039907. The next prime is 46453039931. The reversal of 46453039920 is 2993035464.

46453039920 is a `hidden beast` number, since 4 + 6 + 4 + 530 + 3 + 99 + 20 = 666.

It is a super-2 number, since 2×464530399202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 82509559 + ... + 82510121.

Almost surely, 246453039920 is an apocalyptic number.

46453039920 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 46453039920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703753984).

46453039920 is an abundant number, since it is smaller than the sum of its proper divisors (150954468048).

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

46453039920 is a wasteful number, since it uses less digits than its factorization.

46453039920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 46453039920 in words is "forty-six billion, four hundred fifty-three million, thirty-nine thousand, nine hundred twenty".