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5153315438368 = 25417953999209
BaseRepresentation
bin100101011111101100110…
…0010010011111100100000
3200020122121102011100201101
41022333121202103330200
51133412442223011433
614543222254244144
71041212650325356
oct112773142237440
920218542140641
105153315438368
111707566244619
126b28b6ab6654
132b4c5649ca76
1413b5c95b17d6
158e0b240307d
hex4afd9893f20

5153315438368 has 96 divisors (see below), whose sum is σ = 10527693120000. Its totient is φ = 2481262817280.

The previous prime is 5153315438351. The next prime is 5153315438423. The reversal of 5153315438368 is 8638345133515.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559590948 + ... + 559600156.

It is an arithmetic number, because the mean of its divisors is an integer number (109663470000).

Almost surely, 25153315438368 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 5153315438368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263846560000).

5153315438368 is an abundant number, since it is smaller than the sum of its proper divisors (5374377681632).

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

5153315438368 is a wasteful number, since it uses less digits than its factorization.

5153315438368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14738 (or 14730 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 55.

The spelling of 5153315438368 in words is "five trillion, one hundred fifty-three billion, three hundred fifteen million, four hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 79 82 158 164 316 328 632 656 1264 1312 2528 3239 5399 6478 9209 10798 12956 18418 21596 25912 36836 43192 51824 73672 86384 103648 147344 172768 221359 294688 377569 426521 442718 727511 755138 853042 885436 1455022 1510276 1706084 1770872 2910044 3020552 3412168 3541744 5820088 6041104 6824336 7083488 11640176 12082208 13648672 17487361 23280352 29827951 34974722 49719391 59655902 69949444 99438782 119311804 139898888 198877564 238623608 279797776 397755128 477247216 559595552 795510256 954494432 1591020512 2038495031 3927831889 4076990062 7855663778 8153980124 15711327556 16307960248 31422655112 32615920496 62845310224 65231840992 125690620448 161041107449 322082214898 644164429796 1288328859592 2576657719184 5153315438368