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10934978688 = 2732233113313
BaseRepresentation
bin10100010111100011…
…01000100010000000
31001020002002110202200
422023301220202000
5134343323304223
65005022313200
7534656533224
oct121361504200
931202073680
1010934978688
114701568377
122152128800
13105360ccba
1475a3c6784
1543eee8a43
hex28bc68880

10934978688 has 192 divisors, whose sum is σ = 33896378880. Its totient is φ = 3373793280.

The previous prime is 10934978671. The next prime is 10934978689. The reversal of 10934978688 is 88687943901.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (10934978689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814720 + ... + 828032.

It is an arithmetic number, because the mean of its divisors is an integer number (176543640).

Almost surely, 210934978688 is an apocalyptic number.

10934978688 is a gapful number since it is divisible by the number (18) 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 10934978688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16948189440).

10934978688 is an abundant number, since it is smaller than the sum of its proper divisors (22961400192).

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

10934978688 is a wasteful number, since it uses less digits than its factorization.

10934978688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13387 (or 13372 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 10934978688 in words is "ten billion, nine hundred thirty-four million, nine hundred seventy-eight thousand, six hundred eighty-eight".