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113574160640 = 285101878513
BaseRepresentation
bin110100111000110001…
…1000010100100000000
3101212011011211011001002
41221301203002210000
53330044441120030
6124101504231132
711130321302603
oct1516143024400
9355134734032
10113574160640
114419171a986
121a01790b4a8
13a92cb30a65
1456d5b6833a
152e4aca3245
hex1a718c2900

113574160640 has 72 divisors (see below), whose sum is σ = 274739440248. Its totient is φ = 44979814400.

The previous prime is 113574160621. The next prime is 113574160649. The reversal of 113574160640 is 46061475311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 56096975104 + 57477185536 = 236848^2 + 239744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113574160594 and 113574160603.

It is not an unprimeable number, because it can be changed into a prime (113574160649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309977 + ... + 568536.

It is an arithmetic number, because the mean of its divisors is an integer number (3815825559).

Almost surely, 2113574160640 is an apocalyptic number.

113574160640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113574160640 is an abundant number, since it is smaller than the sum of its proper divisors (161165279608).

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

113574160640 is an equidigital number, since it uses as much as digits as its factorization.

113574160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878635 (or 878621 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 113574160640 in words is "one hundred thirteen billion, five hundred seventy-four million, one hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 640 808 1010 1280 1616 2020 3232 4040 6464 8080 12928 16160 25856 32320 64640 129280 878513 1757026 3514052 4392565 7028104 8785130 14056208 17570260 28112416 35140520 56224832 70281040 88729813 112449664 140562080 177459626 224899328 281124160 354919252 443649065 562248320 709838504 887298130 1124496640 1419677008 1774596260 2839354016 3549192520 5678708032 7098385040 11357416064 14196770080 22714832128 28393540160 56787080320 113574160640