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10151052015234 = 23133173386314887
BaseRepresentation
bin1001001110110111100111…
…0110010111011010000010
31022221102122021020200022010
42103231321312113122002
52312303323303441414
633331155013553350
72065250350316334
oct223557166273202
938842567220263
1010151052015234
113264045252849
12117b412945856
135883176575b0
142714564cb454
151290bb07a959
hex93b79d97682

10151052015234 has 128 divisors (see below), whose sum is σ = 22885713543168. Its totient is φ = 2980267706880.

The previous prime is 10151052015131. The next prime is 10151052015301. The reversal of 10151052015234 is 43251025015101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681866139 + ... + 681881025.

It is an arithmetic number, because the mean of its divisors is an integer number (178794637056).

Almost surely, 210151052015234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10151052015234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442856771584).

10151052015234 is an abundant number, since it is smaller than the sum of its proper divisors (12734661527934).

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

10151052015234 is a wasteful number, since it uses less digits than its factorization.

10151052015234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18872.

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 10151052015234 in words is "ten trillion, one hundred fifty-one billion, fifty-two million, fifteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 26 31 39 62 73 78 93 146 186 219 403 438 806 949 1209 1898 2263 2418 2847 3863 4526 5694 6789 7726 11589 13578 14887 23178 29419 29774 44661 50219 58838 88257 89322 100438 119753 150657 176514 193531 239506 281999 301314 359259 387062 461497 563998 580593 718518 845997 922994 1086751 1161186 1384491 1556789 1691994 2173502 2768982 3113578 3260253 3665987 4670367 5999461 6520506 7331974 8741969 9340734 10997961 11998922 14127763 17483938 17998383 21995922 26225907 28255526 33689281 35996766 42383289 52451814 57508481 67378562 84766578 101067843 113645597 115016962 172525443 202135686 227291194 340936791 345050886 437960653 681873582 747610253 875921306 1313881959 1495220506 1782762911 2242830759 2627763918 3565525822 4198119113 4485661518 5348288733 8396238226 10696577466 12594357339 23175917843 25188714678 46351835686 54575548469 69527753529 109151096938 130141692503 139055507058 163726645407 260283385006 327453290814 390425077509 780850155018 1691842002539 3383684005078 5075526007617 10151052015234