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104518469536 = 2513653384757
BaseRepresentation
bin110000101010111001…
…0010100011110100000
3100222210001221101012021
41201111302110132200
53203023212011121
6120003133311224
710360031222035
oct1412562243640
9328701841167
10104518469536
1140364a51148
121830b035514
139b18981b60
1450b71b738c
152abac75641
hex1855c947a0

104518469536 has 48 divisors (see below), whose sum is σ = 221939187624. Its totient is φ = 48165295104.

The previous prime is 104518469507. The next prime is 104518469543. The reversal of 104518469536 is 635964815401.

It is a happy number.

104518469536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50436176400 + 54082293136 = 224580^2 + 232556^2 .

It is a super-3 number, since 3×1045184695363 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79270 + ... + 464026.

Almost surely, 2104518469536 is an apocalyptic number.

104518469536 is a gapful number since it is divisible by the number (16) 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 104518469536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110969593812).

104518469536 is an abundant number, since it is smaller than the sum of its proper divisors (117420718088).

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

104518469536 is a wasteful number, since it uses less digits than its factorization.

104518469536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385433 (or 385425 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 104518469536 in words is "one hundred four billion, five hundred eighteen million, four hundred sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 653 1306 2612 5224 8489 10448 16978 20896 33956 67912 135824 271648 384757 769514 1539028 3078056 5001841 6156112 10003682 12312224 20007364 40014728 80029456 160058912 251246321 502492642 1004985284 2009970568 3266202173 4019941136 6532404346 8039882272 13064808692 26129617384 52259234768 104518469536