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53413502120 = 235117914910313
BaseRepresentation
bin110001101111101100…
…010101110010101000
312002212110221001020022
4301233230111302220
51333342324031440
640312100420012
73600431163656
oct615754256250
9162773831208
1053413502120
112071a590790
12a4280a7608
135063012474
142829c13dd6
1515c93b7cb5
hexc6fb15ca8

53413502120 has 128 divisors (see below), whose sum is σ = 133669440000. Its totient is φ = 19046676480.

The previous prime is 53413502099. The next prime is 53413502123. The reversal of 53413502120 is 2120531435.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 53413502120.

It is not an unprimeable number, because it can be changed into a prime (53413502123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5174084 + ... + 5184396.

It is an arithmetic number, because the mean of its divisors is an integer number (1044292500).

Almost surely, 253413502120 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 53413502120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66834720000).

53413502120 is an abundant number, since it is smaller than the sum of its proper divisors (80255937880).

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

53413502120 is a wasteful number, since it uses less digits than its factorization.

53413502120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10563 (or 10559 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 53413502120 in words is "fifty-three billion, four hundred thirteen million, five hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 149 158 220 298 316 395 440 596 632 745 790 869 1192 1490 1580 1639 1738 2980 3160 3278 3476 4345 5960 6556 6952 8195 8690 10313 11771 13112 16390 17380 20626 23542 32780 34760 41252 47084 51565 58855 65560 82504 94168 103130 113443 117710 129481 206260 226886 235420 258962 412520 453772 470840 517924 567215 647405 814727 907544 1035848 1134430 1294810 1536637 1629454 2268860 2589620 3073274 3258908 4073635 4537720 5179240 6146548 6517816 7683185 8147270 8961997 12293096 15366370 16294540 16903007 17923994 30732740 32589080 33806014 35847988 44809985 61465480 67612028 71695976 84515035 89619970 121394323 135224056 169030070 179239940 242788646 338060140 358479880 485577292 606971615 676120280 971154584 1213943230 1335337553 2427886460 2670675106 4855772920 5341350212 6676687765 10682700424 13353375530 26706751060 53413502120