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47480067756 = 223411233971459
BaseRepresentation
bin101100001110000010…
…000101011010101100
311112112222010100110000
4230032002011122230
51234214344132011
633451222344300
73300412626342
oct541602053254
9145488110400
1047480067756
1119155295720
129250b8b090
134628981c64
142425bb1992
15137d52d356
hexb0e0856ac

47480067756 has 240 divisors, whose sum is σ = 141746330880. Its totient is φ = 13718263680.

The previous prime is 47480067743. The next prime is 47480067773. The reversal of 47480067756 is 65776008474.

47480067756 is a `hidden beast` number, since 47 + 480 + 0 + 6 + 77 + 56 = 666.

It is a super-2 number, since 2×474800677562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 32542155 + ... + 32543613.

It is an arithmetic number, because the mean of its divisors is an integer number (590609712).

Almost surely, 247480067756 is an apocalyptic number.

47480067756 is a gapful number since it is divisible by the number (46) 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 47480067756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70873165440).

47480067756 is an abundant number, since it is smaller than the sum of its proper divisors (94266263124).

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

47480067756 is a wasteful number, since it uses less digits than its factorization.

47480067756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 47480067756 in words is "forty-seven billion, four hundred eighty million, sixty-seven thousand, seven hundred fifty-six".