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52468090736896 = 284312233897269
BaseRepresentation
bin10111110111000001011011…
…11010010001000100000000
320212202220022110022022101001
423323200231322101010000
523334114122212040041
6303331301431221344
714023460125510132
oct1373405572210400
9225686273268331
1052468090736896
111579965742074a
125a74801517854
132337948315133
14cd567d477052
1560ec37209131
hex2fb82de91100

52468090736896 has 72 divisors (see below), whose sum is σ = 107254491664320. Its totient is φ = 25602993002496.

The previous prime is 52468090736861. The next prime is 52468090736977. The reversal of 52468090736896 is 69863709086425.

It is a super-3 number, since 3×524680907368963 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11514150 + ... + 15411418.

It is an arithmetic number, because the mean of its divisors is an integer number (1489645717560).

Almost surely, 252468090736896 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 52468090736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53627245832160).

52468090736896 is an abundant number, since it is smaller than the sum of its proper divisors (54786400927424).

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

52468090736896 is a wasteful number, since it uses less digits than its factorization.

52468090736896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898551 (or 3898537 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 73.

The spelling of 52468090736896 in words is "fifty-two trillion, four hundred sixty-eight billion, ninety million, seven hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 1223 1376 2446 2752 4892 5504 9784 11008 19568 39136 52589 78272 105178 156544 210356 313088 420712 841424 1682848 3365696 3897269 6731392 7794538 13462784 15589076 31178152 62356304 124712608 167582567 249425216 335165134 498850432 670330268 997700864 1340660536 2681321072 4766359987 5362642144 9532719974 10725284288 19065439948 21450568576 38130879896 42901137152 76261759792 152523519584 204953479441 305047039168 409906958882 610094078336 819813917764 1220188156672 1639627835528 3279255671056 6558511342112 13117022684224 26234045368448 52468090736896