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47326424640 = 26351141281389
BaseRepresentation
bin101100000100110111…
…111110111001000000
311112011021000110201020
4230010313332321000
51233411031042030
633424053305440
73263535654255
oct540467767100
9145137013636
1047326424640
1119086595340
129209635280
134602ba8a81
14240d61942c
15136ecce510
hexb04dfee40

47326424640 has 448 divisors, whose sum is σ = 168950396160. Its totient is φ = 11124736000.

The previous prime is 47326424623. The next prime is 47326424687. The reversal of 47326424640 is 4642462374.

47326424640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 47326424592 and 47326424601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121661566 + ... + 121661954.

It is an arithmetic number, because the mean of its divisors is an integer number (377121420).

Almost surely, 247326424640 is an apocalyptic number.

47326424640 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 47326424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84475198080).

47326424640 is an abundant number, since it is smaller than the sum of its proper divisors (121623971520).

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

47326424640 is a wasteful number, since it uses less digits than its factorization.

47326424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 42.

The spelling of 47326424640 in words is "forty-seven billion, three hundred twenty-six million, four hundred twenty-four thousand, six hundred forty".