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104540730840 = 233357133134313
BaseRepresentation
bin110000101011100011…
…1001111010111011000
3100222211121211100222000
41201113013033113120
53203044411341330
6120005250401000
710360421356560
oct1412707172730
9328747740860
10104540730840
1140376576417
1218316590160
139b20477620
1450ba12dda0
152abcbc1560
hex18571cf5d8

104540730840 has 512 divisors, whose sum is σ = 442732953600. Its totient is φ = 21344808960.

The previous prime is 104540730839. The next prime is 104540730901. The reversal of 104540730840 is 48037045401.

104540730840 is a `hidden beast` number, since 1 + 0 + 4 + 540 + 7 + 30 + 84 + 0 = 666.

It is a super-2 number, since 2×1045407308402 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 104540730795 and 104540730804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3029524 + ... + 3063836.

It is an arithmetic number, because the mean of its divisors is an integer number (864712800).

Almost surely, 2104540730840 is an apocalyptic number.

104540730840 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 104540730840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221366476800).

104540730840 is an abundant number, since it is smaller than the sum of its proper divisors (338192222760).

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

104540730840 is a wasteful number, since it uses less digits than its factorization.

104540730840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34384 (or 34374 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 104540730840 in words is "one hundred four billion, five hundred forty million, seven hundred thirty thousand, eight hundred forty".