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47380591484928 = 2133413192312569
BaseRepresentation
bin10101100010111101001110…
…10100110010000000000000
320012202112120212220122020000
422301132213110302000000
522202240422410004203
6244434202050120000
712660064140414012
oct1261364724620000
9205675525818200
1047380591484928
1114107aa5758109
125392814280000
132058c80560680
14b9b338d9a1b2
15572727e834a3
hex2b17a7532000

47380591484928 has 1120 divisors, whose sum is σ = 167449306147200. Its totient is φ = 13209802113024.

The previous prime is 47380591484873. The next prime is 47380591484953. The reversal of 47380591484928 is 82948419508374.

It is a happy number.

47380591484928 is a `hidden beast` number, since 4 + 7 + 3 + 8 + 0 + 5 + 91 + 48 + 492 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3769632628 + ... + 3769645196.

It is an arithmetic number, because the mean of its divisors is an integer number (149508309060).

Almost surely, 247380591484928 is an apocalyptic number.

47380591484928 is a gapful number since it is divisible by the number (48) 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 47380591484928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83724653073600).

47380591484928 is an abundant number, since it is smaller than the sum of its proper divisors (120068714662272).

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

47380591484928 is a wasteful number, since it uses less digits than its factorization.

47380591484928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12662 (or 12629 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 47380591484928 in words is "forty-seven trillion, three hundred eighty billion, five hundred ninety-one million, four hundred eighty-four thousand, nine hundred twenty-eight".