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53958344546992 = 24231912062737217
BaseRepresentation
bin11000100010011001001111…
…11101011001101010110000
321002001100220210202200222011
430101030213331121222300
524033023142201000432
6310432042110252304
714236235036054644
oct1421144775315260
9232040823680864
1053958344546992
1116213672895336
1260755a44b7094
1324153334b8c62
14d4785256cc24
156388a8b2d847
hex311327f59ab0

53958344546992 has 80 divisors (see below), whose sum is σ = 109669109870592. Its totient is φ = 25669119703040.

The previous prime is 53958344546987. The next prime is 53958344547047. The reversal of 53958344546992 is 29964544385935.

53958344546992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1449811968 + ... + 1449849184.

Almost surely, 253958344546992 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 53958344546992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54834554935296).

53958344546992 is an abundant number, since it is smaller than the sum of its proper divisors (55710765323600).

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

53958344546992 is a wasteful number, since it uses less digits than its factorization.

53958344546992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58066 (or 58060 counting only the distinct ones).

The product of its digits is 5038848000, while the sum is 76.

The spelling of 53958344546992 in words is "fifty-three trillion, nine hundred fifty-eight billion, three hundred forty-four million, five hundred forty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 46 92 184 191 368 382 764 1528 3056 4393 8786 17572 20627 35144 37217 41254 70288 74434 82508 148868 165016 297736 330032 474421 595472 855991 948842 1711982 1897684 3423964 3795368 3939757 6847928 7108447 7590736 7879514 13695856 14216894 15759028 28433788 31518056 56867576 63036112 90614411 113735152 163494281 181228822 326988562 362457644 653977124 724915288 767675059 1307954248 1449830576 1535350118 2615908496 3070700236 6141400472 12282800944 17656526357 35313052714 70626105428 141252210856 146625936269 282504421712 293251872538 586503745076 1173007490152 2346014980304 3372396534187 6744793068374 13489586136748 26979172273496 53958344546992