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14652000000 = 2832561137
BaseRepresentation
bin11011010010101001…
…11100011100000000
31101211010022201102200
431221110330130000
5220001403000000
610421523113200
71026042642111
oct155124743400
941733281380
1014652000000
116239743510
122a0ab12800
1314c67132b1
149cdd18208
155ab4c3500
hex36953c700

14652000000 has 756 divisors, whose sum is σ = 59163461448. Its totient is φ = 3456000000.

The previous prime is 14651999951. The next prime is 14652000019. The reversal of 14652000000 is 25641.

It is a happy number.

14652000000 is a `hidden beast` number, since 1 + 465 + 200 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×146520000002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 395999982 + ... + 396000018.

Almost surely, 214652000000 is an apocalyptic number.

14652000000 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 14652000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29581730724).

14652000000 is an abundant number, since it is smaller than the sum of its proper divisors (44511461448).

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

14652000000 is an frugal number, since it uses more digits than its factorization.

14652000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 14652000000 its reverse (25641), we get a palindrome (14652025641).

The spelling of 14652000000 in words is "fourteen billion, six hundred fifty-two million", and thus it is an aban number.