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10230692851008 = 26327176779163173
BaseRepresentation
bin1001010011100000010011…
…0100000010110101000000
31100020001012120112022121100
42110320010310002311000
52320104424332213013
633431525421254400
72104100051255040
oct224700464026500
940201176468540
1010230692851008
1132948a3445493
12119293a404400
1359299a247ba6
1427524d691720
1512b1ccc50473
hex94e04d02d40

10230692851008 has 1344 divisors, whose sum is σ = 36906389544960. Its totient is φ = 2643957448704.

The previous prime is 10230692850841. The next prime is 10230692851061. The reversal of 10230692851008 is 80015829603201.

10230692851008 is a `hidden beast` number, since 10 + 2 + 30 + 6 + 92 + 8 + 510 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59136952810 + ... + 59136952982.

Almost surely, 210230692851008 is an apocalyptic number.

10230692851008 is a gapful number since it is divisible by the number (18) 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 10230692851008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18453194772480).

10230692851008 is an abundant number, since it is smaller than the sum of its proper divisors (26675696693952).

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

10230692851008 is a wasteful number, since it uses less digits than its factorization.

10230692851008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10230692851008 in words is "ten trillion, two hundred thirty billion, six hundred ninety-two million, eight hundred fifty-one thousand, eight".