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104982930360 = 23355711140269
BaseRepresentation
bin110000111000101111…
…0000110001110111000
3101000222102220102200000
41201301132012032320
53210001112232420
6120121204313000
710404401120160
oct1416136061670
9330872812600
10104982930360
1140583144470
121841a6a2760
139b90c72949
14511cb5b5a0
152ae691d690
hex18717863b8

104982930360 has 384 divisors, whose sum is σ = 441143539200. Its totient is φ = 21814479360.

The previous prime is 104982930341. The next prime is 104982930361. The reversal of 104982930360 is 63039289401.

It is a happy number.

104982930360 is a `hidden beast` number, since 10 + 498 + 2 + 93 + 0 + 3 + 60 = 666.

It is a super-2 number, since 2×1049829303602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104982930361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 678306 + ... + 818574.

It is an arithmetic number, because the mean of its divisors is an integer number (1148811300).

Almost surely, 2104982930360 is an apocalyptic number.

104982930360 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 104982930360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220571769600).

104982930360 is an abundant number, since it is smaller than the sum of its proper divisors (336160608840).

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

104982930360 is a wasteful number, since it uses less digits than its factorization.

104982930360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140313 (or 140297 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 104982930360 in words is "one hundred four billion, nine hundred eighty-two million, nine hundred thirty thousand, three hundred sixty".