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10971245376 = 2632713209311
BaseRepresentation
bin10100011011110111…
…11110101101000000
31001022121100000022100
422031323332231000
5134432114323001
65012355510400
7535610022060
oct121573765500
931277300270
1010971245376
11471aa89043
1221622b8400
13105ac9a490
147611473a0
154432ae586
hex28defeb40

10971245376 has 168 divisors, whose sum is σ = 38704300544. Its totient is φ = 2893501440.

The previous prime is 10971245359. The next prime is 10971245381. The reversal of 10971245376 is 67354217901.

10971245376 is a `hidden beast` number, since 1 + 0 + 97 + 1 + 24 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 52240 + ... + 157071.

Almost surely, 210971245376 is an apocalyptic number.

10971245376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10971245376 is an abundant number, since it is smaller than the sum of its proper divisors (27733055168).

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

10971245376 is a wasteful number, since it uses less digits than its factorization.

10971245376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209349 (or 209336 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

It can be divided in two parts, 1097124 and 5376, that added together give a square (1102500 = 10502).

The spelling of 10971245376 in words is "ten billion, nine hundred seventy-one million, two hundred forty-five thousand, three hundred seventy-six".