Search a number
-
+
104119848000 = 26325371983131
BaseRepresentation
bin110000011111000000…
…1101100110001000000
3100221202021212022020200
41200332001230301000
53201214140114000
6115455413405200
710344121051110
oct1407601546100
9327667768220
10104119848000
114017aa37963
1218219639800
139a84203b1c
14507a291040
152a95c85500
hex183e06cc40

104119848000 has 1344 divisors, whose sum is σ = 456924948480. Its totient is φ = 22104576000.

The previous prime is 104119847977. The next prime is 104119848013. The reversal of 104119848000 is 848911401.

104119848000 = 13563 + 13573 + ... + 13953.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 794807935 + ... + 794808065.

It is an arithmetic number, because the mean of its divisors is an integer number (339973920).

Almost surely, 2104119848000 is an apocalyptic number.

104119848000 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 104119848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228462474240).

104119848000 is an abundant number, since it is smaller than the sum of its proper divisors (352805100480).

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

104119848000 is a wasteful number, since it uses less digits than its factorization.

104119848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

It can be divided in two parts, 10411984 and 8000, that added together give a square (10419984 = 32282).

The spelling of 104119848000 in words is "one hundred four billion, one hundred nineteen million, eight hundred forty-eight thousand".