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934284426143328 = 253213249541780487
BaseRepresentation
bin1101010001101110100000101…
…1010101101110011001100000
311112112000201102001012100200100
43110123220023111232121200
51434424304001043041303
613111020201245222400
7400535552016663261
oct32433501325563140
94475021361170610
10934284426143328
112507678888a4357
12889526b7b61a00
1331141849587ab0
141269d870dac968
157302d36aa38a3
hex351ba0b56e660

934284426143328 has 72 divisors (see below), whose sum is σ = 2861246055075408. Its totient is φ = 287472131119872.

The previous prime is 934284426143303. The next prime is 934284426143347. The reversal of 934284426143328 is 823341624482439.

934284426143328 is a `hidden beast` number, since 9 + 3 + 4 + 2 + 8 + 4 + 4 + 2 + 614 + 3 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124770886500 + ... + 124770893987.

It is an arithmetic number, because the mean of its divisors is an integer number (39739528542714).

Almost surely, 2934284426143328 is an apocalyptic number.

It is an amenable number.

934284426143328 is an abundant number, since it is smaller than the sum of its proper divisors (1926961628932080).

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

934284426143328 is a wasteful number, since it uses less digits than its factorization.

934284426143328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249541780516 (or 249541780505 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 63.

The spelling of 934284426143328 in words is "nine hundred thirty-four trillion, two hundred eighty-four billion, four hundred twenty-six million, one hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 249541780487 499083560974 748625341461 998167121948 1497250682922 1996334243896 2245876024383 2994501365844 3244043146331 3992668487792 4491752048766 5989002731688 6488086292662 7985336975584 8983504097532 9732129438993 11978005463376 12976172585324 17967008195064 19464258877986 23956010926752 25952345170648 29196388316979 35934016390128 38928517755972 51904690341296 58392776633958 71868032780256 77857035511944 103809380682592 116785553267916 155714071023888 233571106535832 311428142047776 467142213071664 934284426143328