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104600315412 = 223329832111907
BaseRepresentation
bin110000101101010101…
…0100010011000010100
3100222222202221120122000
41201122222202120110
53203210140043122
6120015215435300
710362044003535
oct1413252423024
9328882846560
10104600315412
11403a717316a
1218332525b30
139b2c90a478
1450c400068c
152ac30410ac
hex185aaa2614

104600315412 has 192 divisors, whose sum is σ = 285412377600. Its totient is φ = 33083890560.

The previous prime is 104600315381. The next prime is 104600315419. The reversal of 104600315412 is 214513006401.

It is a happy number.

104600315412 is a `hidden beast` number, since 1 + 0 + 4 + 600 + 3 + 1 + 54 + 1 + 2 = 666.

It is a super-3 number, since 3×1046003154123 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104600315419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54849763 + ... + 54851669.

It is an arithmetic number, because the mean of its divisors is an integer number (1486522800).

Almost surely, 2104600315412 is an apocalyptic number.

104600315412 is a gapful number since it is divisible by the number (12) 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 104600315412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142706188800).

104600315412 is an abundant number, since it is smaller than the sum of its proper divisors (180812062188).

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

104600315412 is a wasteful number, since it uses less digits than its factorization.

104600315412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 104600315412 in words is "one hundred four billion, six hundred million, three hundred fifteen thousand, four hundred twelve".