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47916056320 = 2851147611187
BaseRepresentation
bin101100101000000001…
…001111111100000000
311120200100111212022121
4230220001033330000
51241113002300240
634002355214024
73314255521126
oct545001177400
9146610455277
1047916056320
1119359401350
129352ba7314
1346980b4262
142467a63916
1513a695004a
hexb2804ff00

47916056320 has 288 divisors, whose sum is σ = 130077674496. Its totient is φ = 16759603200.

The previous prime is 47916056317. The next prime is 47916056329. The reversal of 47916056320 is 2365061974.

It is a super-2 number, since 2×479160563202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47916056329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40366767 + ... + 40367953.

It is an arithmetic number, because the mean of its divisors is an integer number (451658592).

Almost surely, 247916056320 is an apocalyptic number.

47916056320 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 47916056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65038837248).

47916056320 is an abundant number, since it is smaller than the sum of its proper divisors (82161618176).

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

47916056320 is a wasteful number, since it uses less digits than its factorization.

47916056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 47916056320 in words is "forty-seven billion, nine hundred sixteen million, fifty-six thousand, three hundred twenty".