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10106893296 = 2432312264089
BaseRepresentation
bin10010110100110101…
…01111001111110000
3222002100220101011100
421122122233033300
5131144331041141
64350521444400
7505313114133
oct113232571760
928070811140
1010106893296
114317094585
121b60940700
13c50ba5746
146bc42a21a
153e24750b6
hex25a6af3f0

10106893296 has 60 divisors (see below), whose sum is σ = 29197704640. Its totient is φ = 3260286720.

The previous prime is 10106893259. The next prime is 10106893297. The reversal of 10106893296 is 69239860101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106893297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1127581 + ... + 1136508.

Almost surely, 210106893296 is an apocalyptic number.

10106893296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10106893296 is an abundant number, since it is smaller than the sum of its proper divisors (19090811344).

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

10106893296 is a wasteful number, since it uses less digits than its factorization.

10106893296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264134 (or 2264125 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 10106893296 in words is "ten billion, one hundred six million, eight hundred ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 2264089 4528178 6792267 9056356 13584534 18112712 20376801 27169068 36225424 40753602 54338136 70186759 81507204 108676272 140373518 163014408 210560277 280747036 326028816 421120554 561494072 631680831 842241108 1122988144 1263361662 1684482216 2526723324 3368964432 5053446648 10106893296