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10697553920 = 21152353857
BaseRepresentation
bin10011111011001111…
…11011100000000000
31000121112100001012202
421331213323200000
5133402033211140
64525301412332
7526044464564
oct117547734000
930545301182
1010697553920
11459a543659
1220a670a0a8
131016381381
14736a616a4
1542924a915
hex27d9fb800

10697553920 has 192 divisors, whose sum is σ = 27321053760. Its totient is φ = 4011065344.

The previous prime is 10697553899. The next prime is 10697553929. The reversal of 10697553920 is 2935579601.

10697553920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106975539202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10697553929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12482132 + ... + 12482988.

It is an arithmetic number, because the mean of its divisors is an integer number (142297155).

Almost surely, 210697553920 is an apocalyptic number.

10697553920 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 10697553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660526880).

10697553920 is an abundant number, since it is smaller than the sum of its proper divisors (16623499840).

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

10697553920 is an equidigital number, since it uses as much as digits as its factorization.

10697553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 47.

The spelling of 10697553920 in words is "ten billion, six hundred ninety-seven million, five hundred fifty-three thousand, nine hundred twenty".