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10605855000 = 2335413137397
BaseRepresentation
bin10011110000010100…
…01000000100011000
31000101010210020221110
421320022020010120
5133210044330000
64512224140320
7523552165026
oct117012100430
930333706843
1010605855000
114552801924
12207ba676a0
131000386060
147287d1716
15421185850
hex278288118

10605855000 has 320 divisors, whose sum is σ = 36032340960. Its totient is φ = 2585088000.

The previous prime is 10605854999. The next prime is 10605855017. The reversal of 10605855000 is 55850601.

It is a happy number.

It is a super-2 number, since 2×106058550002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26714802 + ... + 26715198.

Almost surely, 210605855000 is an apocalyptic number.

10605855000 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 10605855000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18016170480).

10605855000 is an abundant number, since it is smaller than the sum of its proper divisors (25426485960).

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

10605855000 is a wasteful number, since it uses less digits than its factorization.

10605855000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 10605855000 in words is "ten billion, six hundred five million, eight hundred fifty-five thousand".