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11712929280 = 2935131767103
BaseRepresentation
bin10101110100010010…
…10001111000000000
31010020021221110100120
422322021101320000
5142442002214110
65214132420240
7563154153603
oct127211217000
933207843316
1011712929280
114a70709148
12232a777680
1311488429b0
147d185233a
15488467870
hex2ba251e00

11712929280 has 640 divisors, whose sum is σ = 43755199488. Its totient is φ = 2647130112.

The previous prime is 11712929269. The next prime is 11712929429. The reversal of 11712929280 is 8292921711.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 113717709 + ... + 113717811.

Almost surely, 211712929280 is an apocalyptic number.

11712929280 is a gapful number since it is divisible by the number (10) 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 11712929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877599744).

11712929280 is an abundant number, since it is smaller than the sum of its proper divisors (32042270208).

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

11712929280 is a wasteful number, since it uses less digits than its factorization.

11712929280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 11712929280 in words is "eleven billion, seven hundred twelve million, nine hundred twenty-nine thousand, two hundred eighty".