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104132213176320 = 2113657367607
BaseRepresentation
bin10111101011010100101011…
…100100110111100000000000
3111122200221102222102111000000
4113223110223210313200000
5102122100233033120240
61005245402304000000
730635206213461000
oct2753245344674000
9448627388374000
10104132213176320
11301a825068700a
12b81962b600000
1346148194ac094
141ba0051528000
15c08ab7a5e430
hex5eb52b937800

104132213176320 has 2688 divisors, whose sum is σ = 444117413376000. Its totient is φ = 23407773548544.

The previous prime is 104132213176301. The next prime is 104132213176333. The reversal of 104132213176320 is 23671312231401.

104132213176320 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 3 + 2 + 2 + 1 + 3 + 17 + 632 + 0 = 666.

104132213176320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 171552245457 + ... + 171552246063.

It is an arithmetic number, because the mean of its divisors is an integer number (165222252000).

Almost surely, 2104132213176320 is an apocalyptic number.

104132213176320 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 104132213176320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222058706688000).

104132213176320 is an abundant number, since it is smaller than the sum of its proper divisors (339985200199680).

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

104132213176320 is an frugal number, since it uses more digits than its factorization.

104132213176320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 104132213176320 in words is "one hundred four trillion, one hundred thirty-two billion, two hundred thirteen million, one hundred seventy-six thousand, three hundred twenty".