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264235147020 = 2232513231377573
BaseRepresentation
bin1111011000010110100…
…1000101111100001100
3221021001000001020202200
43312011221011330030
513312123144201040
6321215444121500
725042664456055
oct3660551057414
9837030036680
10264235147020
11a2074940969
1243263996290
131bbc030ca00
14cb0921972c
156d178ea630
hex3d85a45f0c

264235147020 has 432 divisors, whose sum is σ = 920243181312. Its totient is φ = 61235066880.

The previous prime is 264235147013. The next prime is 264235147061. The reversal of 264235147020 is 20741532462.

264235147020 is a `hidden beast` number, since 2 + 642 + 3 + 5 + 1 + 4 + 7 + 0 + 2 + 0 = 666.

264235147020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 143 ways as a sum of consecutive naturals, for example, 34887954 + ... + 34895526.

Almost surely, 2264235147020 is an apocalyptic number.

264235147020 is a gapful number since it is divisible by the number (20) 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 264235147020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460121590656).

264235147020 is an abundant number, since it is smaller than the sum of its proper divisors (656008034292).

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

264235147020 is a wasteful number, since it uses less digits than its factorization.

264235147020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7682 (or 7664 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 264235147020 its reverse (20741532462), we get a palindrome (284976679482).

The spelling of 264235147020 in words is "two hundred sixty-four billion, two hundred thirty-five million, one hundred forty-seven thousand, twenty".