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10802692096 = 21872292
BaseRepresentation
bin10100000111110010…
…00000000000000000
31000212212011121200021
422003321000000000
5134110442121341
64543535103224
7531462240100
oct120371000000
930785147607
1010802692096
114643924509
122115971b14
1310320a3801
147469cd200
154335b79d1
hex283e40000

10802692096 has 171 divisors, whose sum is σ = 26029276689. Its totient is φ = 4470079488.

The previous prime is 10802692037. The next prime is 10802692097. The reversal of 10802692096 is 69029620801.

The square root of 10802692096 is 103936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5664669696 + 5138022400 = 75264^2 + 71680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10802692097) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 372506610 + ... + 372506638.

Almost surely, 210802692096 is an apocalyptic number.

10802692096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10802692096 is the 103936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10802692096

10802692096 is an abundant number, since it is smaller than the sum of its proper divisors (15226584593).

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

10802692096 is an frugal number, since it uses more digits than its factorization.

10802692096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 10802692096 in words is "ten billion, eight hundred two million, six hundred ninety-two thousand, ninety-six".