Search a number
-
+
136975799520 = 2533572798191
BaseRepresentation
bin111111110010001100…
…1001101010011100000
3111002120002010120121000
41333210121031103200
54221011301041040
6142531550432000
712616250041200
oct1774431152340
9432502116530
10136975799520
11531002a45aa
1222668b02600
13cbbc186461
1468b5b26400
15386a49c130
hex1fe464d4e0

136975799520 has 576 divisors, whose sum is σ = 564815462400. Its totient is φ = 30908666880.

The previous prime is 136975799497. The next prime is 136975799563. The reversal of 136975799520 is 25997579631.

136975799520 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 7 + 579 + 9 + 52 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16718625 + ... + 16726815.

It is an arithmetic number, because the mean of its divisors is an integer number (980582400).

Almost surely, 2136975799520 is an apocalyptic number.

136975799520 is a gapful number since it is divisible by the number (10) 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 136975799520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282407731200).

136975799520 is an abundant number, since it is smaller than the sum of its proper divisors (427839662880).

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

136975799520 is a wasteful number, since it uses less digits than its factorization.

136975799520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8308 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 32148900, while the sum is 63.

The spelling of 136975799520 in words is "one hundred thirty-six billion, nine hundred seventy-five million, seven hundred ninety-nine thousand, five hundred twenty".