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152564302424136 = 233318310922666027
BaseRepresentation
bin100010101100000110100101…
…000011010010100001001000
3202000012000010112212221202110
4202230012211003102201020
5124444103142410033021
61300251023432302320
744064256431546321
oct4254064503224110
9660160115787673
10152564302424136
1144680180414529
121513bb982419a0
1367189a1165c15
14299621a13b448
151298833355476
hex8ac1a50d2848

152564302424136 has 128 divisors (see below), whose sum is σ = 402113469542400. Its totient is φ = 48175278301440.

The previous prime is 152564302424111. The next prime is 152564302424159. The reversal of 152564302424136 is 631424203465251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4602046 + ... + 18063981.

It is an arithmetic number, because the mean of its divisors is an integer number (3141511480800).

Almost surely, 2152564302424136 is an apocalyptic number.

It is an amenable number.

152564302424136 is an abundant number, since it is smaller than the sum of its proper divisors (249549167118264).

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

152564302424136 is a wasteful number, since it uses less digits than its factorization.

152564302424136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22666259 (or 22666255 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

Adding to 152564302424136 its reverse (631424203465251), we get a palindrome (783988505889387).

The spelling of 152564302424136 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, three hundred two million, four hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 83 93 109 124 166 186 218 248 249 327 332 372 436 498 654 664 744 872 996 1308 1992 2573 2616 3379 5146 6758 7719 9047 10137 10292 13516 15438 18094 20274 20584 27032 27141 30876 36188 40548 54282 61752 72376 81096 108564 217128 280457 560914 841371 1121828 1682742 2243656 3365484 6730968 22666027 45332054 67998081 90664108 135996162 181328216 271992324 543984648 702646837 1405293674 1881280241 2107940511 2470596943 2810587348 3762560482 4215881022 4941193886 5621174696 5643840723 7411790829 7525120964 8431762044 9882387772 11287681446 14823581658 15050241928 16863524088 19764775544 22575362892 29647163316 45150725784 58319687471 59294326632 76588505233 116639374942 153177010466 174959062413 205059546269 229765515699 233278749884 306354020932 349918124826 410119092538 459531031398 466557499768 612708041864 615178638807 699836249652 820238185076 919062062796 1230357277614 1399672499304 1640476370152 1838124125592 2460714555228 4921429110456 6356845934339 12713691868678 19070537803017 25427383737356 38141075606034 50854767474712 76282151212068 152564302424136