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47132860730148 = 2235414343363521
BaseRepresentation
bin10101011011101111110010…
…11010111100101100100100
320011212212011002210101100000
422231313321122330230210
522134211044321331043
6244124312020221300
712633144140634354
oct1255677132745444
9204785132711300
1047132860730148
1114021a30149436
1253527b783a830
13203b7c066923b
14b8d357accb64
1556b0794b32d3
hex2addf96bcb24

47132860730148 has 288 divisors, whose sum is σ = 129812132241792. Its totient is φ = 14936489164800.

The previous prime is 47132860730117. The next prime is 47132860730159. The reversal of 47132860730148 is 84103706823174.

47132860730148 is a `hidden beast` number, since 4 + 7 + 1 + 3 + 28 + 607 + 3 + 0 + 1 + 4 + 8 = 666.

It is a super-2 number, since 2×471328607301482 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 47132860730094 and 47132860730103.

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, 741972628 + ... + 742036148.

It is an arithmetic number, because the mean of its divisors is an integer number (450736570284).

Almost surely, 247132860730148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47132860730148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64906066120896).

47132860730148 is an abundant number, since it is smaller than the sum of its proper divisors (82679271511644).

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

47132860730148 is a wasteful number, since it uses less digits than its factorization.

47132860730148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64057 (or 64043 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 47132860730148 in words is "forty-seven trillion, one hundred thirty-two billion, eight hundred sixty million, seven hundred thirty thousand, one hundred forty-eight".