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10694054000 = 24537417131
BaseRepresentation
bin10011111010110101…
…00101000001110000
31000121021202020020002
421331122211001300
5133400134212000
64525054405132
7526002650000
oct117532450160
930537666202
1010694054000
114598573063
1220a55007a8
131015727306
147363d0000
15428ca88d5
hex27d6a5070

10694054000 has 400 divisors, whose sum is σ = 32184431136. Its totient is φ = 3424512000.

The previous prime is 10694053991. The next prime is 10694054003. The reversal of 10694054000 is 45049601.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×106940540002 (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 (10694054003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81633935 + ... + 81634065.

Almost surely, 210694054000 is an apocalyptic number.

10694054000 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 10694054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16092215568).

10694054000 is an abundant number, since it is smaller than the sum of its proper divisors (21490377136).

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

10694054000 is an equidigital number, since it uses as much as digits as its factorization.

10694054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 10694054000 in words is "ten billion, six hundred ninety-four million, fifty-four thousand".