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53362260468 = 223211414769929
BaseRepresentation
bin110001101100101000…
…110111100111110100
312002201220111200220100
4301230220313213310
51333241214313333
640303030234100
73566236505256
oct615450674764
9162656450810
1053362260468
11206a3672110
12a412ab5930
135055510b6a
1428230b5cd6
1515c4b45213
hexc6ca379f4

53362260468 has 144 divisors (see below), whose sum is σ = 153948936960. Its totient is φ = 15440102400.

The previous prime is 53362260467. The next prime is 53362260491. The reversal of 53362260468 is 86406226335.

It is a happy number.

53362260468 is a `hidden beast` number, since 5 + 3 + 36 + 2 + 2 + 604 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53362260461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728128 + ... + 798056.

It is an arithmetic number, because the mean of its divisors is an integer number (1069089840).

Almost surely, 253362260468 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 53362260468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76974468480).

53362260468 is an abundant number, since it is smaller than the sum of its proper divisors (100586676492).

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

53362260468 is a wasteful number, since it uses less digits than its factorization.

53362260468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70038 (or 70033 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 53362260468 in words is "fifty-three billion, three hundred sixty-two million, two hundred sixty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 47 66 82 94 99 123 132 141 164 188 198 246 282 369 396 423 451 492 517 564 738 846 902 1034 1353 1476 1551 1692 1804 1927 2068 2706 3102 3854 4059 4653 5412 5781 6204 7708 8118 9306 11562 16236 17343 18612 21197 23124 34686 42394 63591 69372 69929 84788 127182 139858 190773 209787 254364 279716 381546 419574 629361 763092 769219 839148 1258722 1538438 2307657 2517444 2867089 3076876 3286663 4615314 5734178 6573326 6922971 8601267 9230628 9859989 11468356 13146652 13845942 17202534 19719978 25803801 27691884 29579967 31537979 34405068 36153293 39439956 51607602 59159934 63075958 72306586 94613937 103215204 108459879 118319868 126151916 134753183 144613172 189227874 216919758 269506366 283841811 325379637 378455748 404259549 433839516 539012732 567683622 650759274 808519098 1135367244 1212778647 1301518548 1482285013 1617038196 2425557294 2964570026 4446855039 4851114588 5929140052 8893710078 13340565117 17787420156 26681130234 53362260468