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53893360224 = 253211139122387
BaseRepresentation
bin110010001100010010…
…110110101001100000
312011002220212100210200
4302030102312221200
51340333200011344
640431441425200
73615346001124
oct621422665140
9164086770720
1053893360224
1120946440230
12a54093b200
13510b564682
142873845584
1516065a3069
hexc8c4b6a60

53893360224 has 144 divisors (see below), whose sum is σ = 168396096960. Its totient is φ = 16213697280.

The previous prime is 53893360223. The next prime is 53893360229. The reversal of 53893360224 is 42206339835.

53893360224 is a `hidden beast` number, since 5 + 3 + 8 + 9 + 33 + 602 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 53893360224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53893360223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379159 + ... + 501545.

It is an arithmetic number, because the mean of its divisors is an integer number (1169417340).

Almost surely, 253893360224 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 53893360224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84198048480).

53893360224 is an abundant number, since it is smaller than the sum of its proper divisors (114502736736).

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

53893360224 is a wasteful number, since it uses less digits than its factorization.

53893360224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122553 (or 122542 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 53893360224 in words is "fifty-three billion, eight hundred ninety-three million, three hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 139 144 176 198 264 278 288 352 396 417 528 556 792 834 1056 1112 1251 1529 1584 1668 2224 2502 3058 3168 3336 4448 4587 5004 6116 6672 9174 10008 12232 13344 13761 18348 20016 24464 27522 36696 40032 48928 55044 73392 110088 122387 146784 220176 244774 367161 440352 489548 734322 979096 1101483 1346257 1468644 1958192 2202966 2692514 2937288 3916384 4038771 4405932 5385028 5874576 8077542 8811864 10770056 11749152 12116313 16155084 17011793 17623728 21540112 24232626 32310168 34023586 35247456 43080224 48465252 51035379 64620336 68047172 96930504 102070758 129240672 136094344 153106137 187129723 193861008 204141516 272188688 306212274 374259446 387722016 408283032 544377376 561389169 612424548 748518892 816566064 1122778338 1224849096 1497037784 1633132128 1684167507 2245556676 2449698192 2994075568 3368335014 4491113352 4899396384 5988151136 6736670028 8982226704 13473340056 17964453408 26946680112 53893360224