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10606692096 = 283472111373
BaseRepresentation
bin10011110000011010…
…10100011100000000
31000101012100210020000
421320031110130000
5133210303121341
64512254120000
7523562252400
oct117015243400
930335323200
1010606692096
114553223840
1220801b0000
1310005ba090
1472896c800
1542129d8b6
hex278354700

10606692096 has 1080 divisors, whose sum is σ = 43814930544. Its totient is φ = 2508226560.

The previous prime is 10606692073. The next prime is 10606692101. The reversal of 10606692096 is 69029660601.

10606692096 is a `hidden beast` number, since 10 + 606 + 6 + 9 + 20 + 9 + 6 = 666.

It is a super-2 number, since 2×106066920962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 145297116 + ... + 145297188.

Almost surely, 210606692096 is an apocalyptic number.

10606692096 is a gapful number since it is divisible by the number (16) 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 10606692096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21907465272).

10606692096 is an abundant number, since it is smaller than the sum of its proper divisors (33208238448).

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

10606692096 is a wasteful number, since it uses less digits than its factorization.

10606692096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 10606692096 in words is "ten billion, six hundred six million, six hundred ninety-two thousand, ninety-six".