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47372086080 = 26325117121061
BaseRepresentation
bin101100000111100110…
…001010101101000000
311112021102221022102200
4230013212022231000
51234004223223310
633432404113200
73264632042064
oct540746125500
9145242838380
1047372086080
11190aa342470
129220995800
13460c4a5487
142415703aa4
151373ced9c0
hexb0798ab40

47372086080 has 336 divisors, whose sum is σ = 180265108608. Its totient is φ = 11321856000.

The previous prime is 47372086043. The next prime is 47372086127. The reversal of 47372086080 is 8068027374.

It is a happy number.

47372086080 is a `hidden beast` number, since 4 + 7 + 37 + 2 + 0 + 8 + 608 + 0 = 666.

It is a super-2 number, since 2×473720860802 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2238750 + ... + 2259810.

Almost surely, 247372086080 is an apocalyptic number.

47372086080 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 47372086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90132554304).

47372086080 is an abundant number, since it is smaller than the sum of its proper divisors (132893022528).

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

47372086080 is a wasteful number, since it uses less digits than its factorization.

47372086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21166 (or 21153 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 47372086080 in words is "forty-seven billion, three hundred seventy-two million, eighty-six thousand, eighty".