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3254361644064 = 253535411182283
BaseRepresentation
bin101111010110110111000…
…100011101110000100000
3102112010002001120121102010
4233112313010131300200
5411304413040102224
610531011052152520
7454056054362226
oct57266704356040
912463061517363
103254361644064
111045192341743
12446873168740
131a7b6741266b
14b3724abab16
15599c041be29
hex2f5b711dc20

3254361644064 has 96 divisors (see below), whose sum is σ = 8719978204224. Its totient is φ = 1062351313920.

The previous prime is 3254361643999. The next prime is 3254361644077. The reversal of 3254361644064 is 4604461634523.

3254361644064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2161467 + ... + 3343749.

It is an arithmetic number, because the mean of its divisors is an integer number (90833106294).

Almost surely, 23254361644064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3254361644064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359989102112).

3254361644064 is an abundant number, since it is smaller than the sum of its proper divisors (5465616560160).

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

3254361644064 is a wasteful number, since it uses less digits than its factorization.

3254361644064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182890 (or 1182882 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 3254361644064 in words is "three trillion, two hundred fifty-four billion, three hundred sixty-one million, six hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 541 636 848 1082 1272 1623 1696 2164 2544 3246 4328 5088 6492 8656 12984 17312 25968 28673 51936 57346 86019 114692 172038 229384 344076 458768 688152 917536 1182283 1376304 2364566 2752608 3546849 4729132 7093698 9458264 14187396 18916528 28374792 37833056 56749584 62660999 113499168 125321998 187982997 250643996 375965994 501287992 639615103 751931988 1002575984 1279230206 1503863976 1918845309 2005151968 2558460412 3007727952 3837690618 5116920824 6015455904 7675381236 10233841648 15350762472 20467683296 30701524944 33899600459 61403049888 67799200918 101698801377 135598401836 203397602754 271196803672 406795205508 542393607344 813590411016 1084787214688 1627180822032 3254361644064