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10665421632 = 2637233313
BaseRepresentation
bin10011110111011010…
…10110101101000000
31000112021212120000000
421323231112231000
5133320321443012
64522153000000
7525204405465
oct117355265500
930467776000
1010665421632
114583397148
1220979b3000
13100c810998
1473269966c
154264eeddc
hex27bb56b40

10665421632 has 224 divisors, whose sum is σ = 33131516160. Its totient is φ = 3399542784.

The previous prime is 10665421621. The next prime is 10665421633. The reversal of 10665421632 is 23612456601.

10665421632 is a `hidden beast` number, since 10 + 6 + 6 + 5 + 4 + 2 + 1 + 632 = 666.

It is a super-2 number, since 2×106654216322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10665421633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3217608 + ... + 3220920.

Almost surely, 210665421632 is an apocalyptic number.

10665421632 is a gapful number since it is divisible by the number (12) 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 10665421632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16565758080).

10665421632 is an abundant number, since it is smaller than the sum of its proper divisors (22466094528).

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

10665421632 is an frugal number, since it uses more digits than its factorization.

10665421632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10665421632 in words is "ten billion, six hundred sixty-five million, four hundred twenty-one thousand, six hundred thirty-two".