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64135232640 = 27325191513881
BaseRepresentation
bin111011101110110000…
…011111110010000000
320010112200202101111200
4323232300133302000
52022322104421030
645244024341200
74430221324353
oct735660376200
9203480671450
1064135232640
11252217375a6
121051a914800
1360813a9ccb
143165b6a29a
151a057dbd60
hexeeec1fc80

64135232640 has 384 divisors, whose sum is σ = 234727459200. Its totient is φ = 16091136000.

The previous prime is 64135232587. The next prime is 64135232657. The reversal of 64135232640 is 4623253146.

64135232640 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 5 + 2 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×641352326402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 64135232595 and 64135232604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16523500 + ... + 16527380.

It is an arithmetic number, because the mean of its divisors is an integer number (611269425).

Almost surely, 264135232640 is an apocalyptic number.

64135232640 is a gapful number since it is divisible by the number (60) 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 64135232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117363729600).

64135232640 is an abundant number, since it is smaller than the sum of its proper divisors (170592226560).

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

64135232640 is a wasteful number, since it uses less digits than its factorization.

64135232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 64135232640 its reverse (4623253146), we get a palindrome (68758485786).

The spelling of 64135232640 in words is "sixty-four billion, one hundred thirty-five million, two hundred thirty-two thousand, six hundred forty".