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48642096726 = 23319293161807
BaseRepresentation
bin101101010011010010…
…110111111001010110
311122112221200112112000
4231103102313321112
51244104334043401
634202412540130
73341253000036
oct552322677126
9148487615460
1048642096726
11196a1217243
129516181646
134782640272
1424d62598c6
1513ea568186
hexb534b7e56

48642096726 has 64 divisors (see below), whose sum is σ = 114171724800. Its totient is φ = 15308142048.

The previous prime is 48642096667. The next prime is 48642096743. The reversal of 48642096726 is 62769024684.

48642096726 is a `hidden beast` number, since 486 + 4 + 2 + 0 + 96 + 72 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219715 + ... + 381521.

It is an arithmetic number, because the mean of its divisors is an integer number (1783933200).

Almost surely, 248642096726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48642096726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57085862400).

48642096726 is an abundant number, since it is smaller than the sum of its proper divisors (65529628074).

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

48642096726 is a wasteful number, since it uses less digits than its factorization.

48642096726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162130 (or 162124 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 48642096726 in words is "forty-eight billion, six hundred forty-two million, ninety-six thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 293 342 513 586 879 1026 1758 2637 5274 5567 7911 11134 15822 16701 33402 50103 100206 150309 161807 300618 323614 485421 970842 1456263 2912526 3074333 4368789 6148666 8737578 9222999 18445998 27668997 47409451 55337994 83006991 94818902 142228353 166013982 284456706 426685059 853370118 900779569 1280055177 1801559138 2560110354 2702338707 5404677414 8107016121 16214032242 24321048363 48642096726