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104777360040 = 2335173161157173
BaseRepresentation
bin110000110010100110…
…1111010001010101000
3101000110010002101012110
41201211031322022220
53204041001010130
6120044542242320
710366323602613
oct1414515721250
9330403071173
10104777360040
11404880a7441
12183818863a0
139b5a4b80c2
1450dd72917a
152ad3863ab0
hex186537a2a8

104777360040 has 512 divisors, whose sum is σ = 353445949440. Its totient is φ = 24728371200.

The previous prime is 104777360033. The next prime is 104777360059. The reversal of 104777360040 is 40063777401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 605649394 + ... + 605649566.

It is an arithmetic number, because the mean of its divisors is an integer number (690324120).

Almost surely, 2104777360040 is an apocalyptic number.

104777360040 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 104777360040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176722974720).

104777360040 is an abundant number, since it is smaller than the sum of its proper divisors (248668589400).

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

104777360040 is a wasteful number, since it uses less digits than its factorization.

104777360040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 104777360040 in words is "one hundred four billion, seven hundred seventy-seven million, three hundred sixty thousand, forty".