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47111113728 = 210357173743
BaseRepresentation
bin101011111000000010…
…101000110000000000
311111121020212112200000
4223320002220300000
51232440421114403
633350442400000
73255312600540
oct537002506000
9144536775600
1047111113728
1118a85aa5038
129169500000
13459a3c0773
1423ccbad320
15135ae4d7a3
hexaf80a8c00

47111113728 has 1056 divisors, whose sum is σ = 179398162944. Its totient is φ = 12039487488.

The previous prime is 47111113697. The next prime is 47111113741. The reversal of 47111113728 is 82731111174.

47111113728 is a `hidden beast` number, since 471 + 1 + 1 + 113 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 47111113692 and 47111113701.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1095607275 + ... + 1095607317.

It is an arithmetic number, because the mean of its divisors is an integer number (169884624).

Almost surely, 247111113728 is an apocalyptic number.

47111113728 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 47111113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89699081472).

47111113728 is an abundant number, since it is smaller than the sum of its proper divisors (132287049216).

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

47111113728 is a wasteful number, since it uses less digits than its factorization.

47111113728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 109 counting only the distinct ones).

The product of its digits is 9408, while the sum is 36.

The spelling of 47111113728 in words is "forty-seven billion, one hundred eleven million, one hundred thirteen thousand, seven hundred twenty-eight".