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104551442425152 = 26331813473532729
BaseRepresentation
bin10111110001011011000111…
…100101100010010101000000
3111201012000112210012220102000
4113301123013211202111000
5102200432323230101102
61010210134121424000
731010410131341652
oct2761330745422500
9451160483186360
10104551442425152
113034a021664698
12b88692a63b000
13464520a913268
141bb646149c6d2
15c149526c801c
hex5f16c7962540

104551442425152 has 448 divisors, whose sum is σ = 310942619769600. Its totient is φ = 34447532359680.

The previous prime is 104551442425099. The next prime is 104551442425153. The reversal of 104551442425152 is 251524244155401.

104551442425152 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 51 + 4 + 42 + 42 + 515 + 2 = 666.

It is a super-2 number, since 2×1045514424251522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104551442425098 and 104551442425107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104551442425153) 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, 38311263724 + ... + 38311266452.

It is an arithmetic number, because the mean of its divisors is an integer number (694068347700).

Almost surely, 2104551442425152 is an apocalyptic number.

104551442425152 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 104551442425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155471309884800).

104551442425152 is an abundant number, since it is smaller than the sum of its proper divisors (206391177344448).

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

104551442425152 is a wasteful number, since it uses less digits than its factorization.

104551442425152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 1280000, while the sum is 45.

The spelling of 104551442425152 in words is "one hundred four trillion, five hundred fifty-one billion, four hundred forty-two million, four hundred twenty-five thousand, one hundred fifty-two".