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104298610416 = 243711132394379
BaseRepresentation
bin110000100100010101…
…1100111111011110000
3100222012202020101011220
41201020223213323300
53202100421013131
6115525241105040
710351421363250
oct1411053477360
9328182211156
10104298610416
11402619347a0
1218269488180
139ab22635c0
145095d05960
152aa67e6e96
hex1848ae7ef0

104298610416 has 320 divisors, whose sum is σ = 377495838720. Its totient is φ = 23919160320.

The previous prime is 104298610399. The next prime is 104298610421. The reversal of 104298610416 is 614016892401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1057915 + ... + 1152293.

It is an arithmetic number, because the mean of its divisors is an integer number (1179674496).

Almost surely, 2104298610416 is an apocalyptic number.

104298610416 is a gapful number since it is divisible by the number (16) 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 104298610416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188747919360).

104298610416 is an abundant number, since it is smaller than the sum of its proper divisors (273197228304).

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

104298610416 is a wasteful number, since it uses less digits than its factorization.

104298610416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94444 (or 94438 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 104298610416 in words is "one hundred four billion, two hundred ninety-eight million, six hundred ten thousand, four hundred sixteen".