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10146415008 = 253105691823
BaseRepresentation
bin10010111001100011…
…00000000110100000
3222012010021021202110
421130301200012200
5131234440240013
64354452515320
7506303050602
oct113461400640
928163237673
1010146415008
114337428854
121b7201bb40
13c59132682
146c3797172
153e5b802c3
hex25cc601a0

10146415008 has 24 divisors (see below), whose sum is σ = 26634339648. Its totient is φ = 3382138304.

The previous prime is 10146414973. The next prime is 10146415009. The reversal of 10146415008 is 80051464101.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (10146415009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52845816 + ... + 52846007.

It is an arithmetic number, because the mean of its divisors is an integer number (1109764152).

Almost surely, 210146415008 is an apocalyptic number.

It is an amenable number.

10146415008 is an abundant number, since it is smaller than the sum of its proper divisors (16487924640).

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

10146415008 is a wasteful number, since it uses less digits than its factorization.

10146415008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105691836 (or 105691828 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 10146415008 its reverse (80051464101), we get a palindrome (90197879109).

The spelling of 10146415008 in words is "ten billion, one hundred forty-six million, four hundred fifteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 105691823 211383646 317075469 422767292 634150938 845534584 1268301876 1691069168 2536603752 3382138336 5073207504 10146415008