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53101145056 = 2517836531801
BaseRepresentation
bin110001011101000100…
…110010101111100000
312002001201011122220011
4301131010302233200
51332222343120211
640221101454304
73556616166661
oct613504625740
9162051148804
1053101145056
112057a237253
12a35b571394
1350133a8cbb
1427da545368
1515abc67921
hexc5d132be0

53101145056 has 96 divisors (see below), whose sum is σ = 112259958048. Its totient is φ = 24636211200.

The previous prime is 53101145029. The next prime is 53101145057. The reversal of 53101145056 is 65054110135.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53101145057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29483356 + ... + 29485156.

It is an arithmetic number, because the mean of its divisors is an integer number (1169374563).

Almost surely, 253101145056 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 53101145056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56129979024).

53101145056 is an abundant number, since it is smaller than the sum of its proper divisors (59158812992).

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

53101145056 is a wasteful number, since it uses less digits than its factorization.

53101145056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 53101145056 in words is "fifty-three billion, one hundred one million, one hundred forty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 83 136 166 272 332 544 653 664 1306 1328 1411 1801 2612 2656 2822 3602 5224 5644 7204 10448 11101 11288 14408 20896 22202 22576 28816 30617 44404 45152 54199 57632 61234 88808 108398 122468 149483 177616 216796 244936 298966 355232 433592 489872 597932 867184 921383 979744 1176053 1195864 1734368 1842766 2352106 2391728 2541211 3685532 4704212 4783456 5082422 7371064 9408424 10164844 14742128 18816848 19992901 20329688 29484256 37633696 39985802 40659376 79971604 81318752 97612399 159943208 195224798 319886416 390449596 639772832 780899192 1561798384 1659410783 3123596768 3318821566 6637643132 13275286264 26550572528 53101145056