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104919895080 = 2333571113374361
BaseRepresentation
bin110000110110110110…
…1101000110000101000
3101000211001021220112000
41201231231220300220
53204333443120310
6120111033251000
710403004251640
oct1415555506050
9330731256460
10104919895080
11405506000a0
1218401563a60
139b80ba2270
14511462d520
152ae111b4c0
hex186db68c28

104919895080 has 2048 divisors, whose sum is σ = 501567897600. Its totient is φ = 18811699200.

The previous prime is 104919895063. The next prime is 104919895097. The reversal of 104919895080 is 80598919401.

104919895080 is a `hidden beast` number, since 1 + 0 + 49 + 1 + 98 + 9 + 508 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104919895063) and next prime (104919895097).

It is a super-2 number, since 2×1049198950802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 511 ways as a sum of consecutive naturals, for example, 1719998250 + ... + 1719998310.

It is an arithmetic number, because the mean of its divisors is an integer number (244906200).

Almost surely, 2104919895080 is an apocalyptic number.

104919895080 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 104919895080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250783948800).

104919895080 is an abundant number, since it is smaller than the sum of its proper divisors (396648002520).

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

104919895080 is a wasteful number, since it uses less digits than its factorization.

104919895080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

It can be divided in two parts, 104919 and 895080, that added together give a palindrome (999999).

The spelling of 104919895080 in words is "one hundred four billion, nine hundred nineteen million, eight hundred ninety-five thousand, eighty".