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46079411840 = 2757211312139
BaseRepresentation
bin101010111010100011…
…000000011010000000
311101221100112122201222
4222322203000122000
51223332312134330
633100225414212
73220614352400
oct527243003200
9141840478658
1046079411840
11185a6699150
128b1ba9a368
134464733a87
142331b6c800
1512ea5a90e5
hexaba8c0680

46079411840 has 576 divisors, whose sum is σ = 145487210400. Its totient is φ = 13799116800.

The previous prime is 46079411803. The next prime is 46079411867. The reversal of 46079411840 is 4811497064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 46079411791 and 46079411800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 331506491 + ... + 331506629.

Almost surely, 246079411840 is an apocalyptic number.

46079411840 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 46079411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72743605200).

46079411840 is an abundant number, since it is smaller than the sum of its proper divisors (99407798560).

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

46079411840 is a wasteful number, since it uses less digits than its factorization.

46079411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 46079411840 in words is "forty-six billion, seventy-nine million, four hundred eleven thousand, eight hundred forty".