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49869015733152 = 253271173103129879
BaseRepresentation
bin10110101011011000010001…
…11101111101001110100000
320112120102122110011002020100
423111230020331331032200
523014023221011430102
6254021302021542400
713334626461501120
oct1325541075751640
9215512573132210
1049869015733152
1114987370331790
125714b48574a00
1321a982195c535
14c4595d528c80
155b731a6c6a1c
hex2d5b08f7d3a0

49869015733152 has 576 divisors, whose sum is σ = 179410206044160. Its totient is φ = 12762734284800.

The previous prime is 49869015733139. The next prime is 49869015733157. The reversal of 49869015733152 is 25133751096894.

49869015733152 is a `hidden beast` number, since 4 + 9 + 8 + 6 + 9 + 0 + 1 + 573 + 3 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 49869015733152.

It is not an unprimeable number, because it can be changed into a prime (49869015733157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1669017349 + ... + 1669047227.

It is an arithmetic number, because the mean of its divisors is an integer number (311476052160).

It is a 1-persistent number, because it is pandigital, but 2⋅49869015733152 = 99738031466304 is not.

Almost surely, 249869015733152 is an apocalyptic number.

49869015733152 is a gapful number since it is divisible by the number (42) 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 49869015733152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89705103022080).

49869015733152 is an abundant number, since it is smaller than the sum of its proper divisors (129541190311008).

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

49869015733152 is a wasteful number, since it uses less digits than its factorization.

49869015733152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31017 (or 31006 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 49869015733152 in words is "forty-nine trillion, eight hundred sixty-nine billion, fifteen million, seven hundred thirty-three thousand, one hundred fifty-two".