Search a number
-
+
111542798640 = 24357132794973
BaseRepresentation
bin110011111100001111…
…0000000100100110000
3101122220121110021020110
41213320132000210300
53311414424024030
6123124141141320
711026064100450
oct1477036004460
9348817407213
10111542798640
114333a002609
121974b55a840
13a698025800
145582067d60
152d7c7981b0
hex19f8780930

111542798640 has 480 divisors, whose sum is σ = 433420830720. Its totient is φ = 23231729664.

The previous prime is 111542798599. The next prime is 111542798641. The reversal of 111542798640 is 46897245111.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 111542798640.

It is not an unprimeable number, because it can be changed into a prime (111542798641) 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, 22427194 + ... + 22432166.

It is an arithmetic number, because the mean of its divisors is an integer number (902960064).

Almost surely, 2111542798640 is an apocalyptic number.

111542798640 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 111542798640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216710415360).

111542798640 is an abundant number, since it is smaller than the sum of its proper divisors (321878032080).

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

111542798640 is a wasteful number, since it uses less digits than its factorization.

111542798640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 111542798640 in words is "one hundred eleven billion, five hundred forty-two million, seven hundred ninety-eight thousand, six hundred forty".