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152683289430 = 23573773269183
BaseRepresentation
bin1000111000110010100…
…0100001101101010110
3112121002202112201222120
42032030220201231112
510000143410230210
6154050340440410
714013430355340
oct2161450415526
9477082481876
10152683289430
1159830811221
12257113a9106
1311523464a99
147565cb4290
153e89463270
hex238ca21b56

152683289430 has 128 divisors (see below), whose sum is σ = 436000555008. Its totient is φ = 33490547712.

The previous prime is 152683289351. The next prime is 152683289441. The reversal of 152683289430 is 34982386251.

It is a happy number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 432619 + ... + 701801.

It is an arithmetic number, because the mean of its divisors is an integer number (3406254336).

Almost surely, 2152683289430 is an apocalyptic number.

152683289430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152683289430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218000277504).

152683289430 is an abundant number, since it is smaller than the sum of its proper divisors (283317265578).

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

152683289430 is a wasteful number, since it uses less digits than its factorization.

152683289430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269310.

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 152683289430 in words is "one hundred fifty-two billion, six hundred eighty-three million, two hundred eighty-nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 73 74 105 111 146 185 210 219 222 259 365 370 438 511 518 555 730 777 1022 1095 1110 1295 1533 1554 2190 2555 2590 2701 3066 3885 5110 5402 7665 7770 8103 13505 15330 16206 18907 27010 37814 40515 56721 81030 94535 113442 189070 269183 283605 538366 567210 807549 1345915 1615098 1884281 2691830 3768562 4037745 5652843 8075490 9421405 9959771 11305686 18842810 19650359 19919542 28264215 29879313 39300718 49798855 56528430 58951077 59758626 69718397 98251795 99597710 117902154 137552513 139436794 149396565 196503590 209155191 275105026 294755385 298793130 348591985 412657539 418310382 589510770 687762565 697183970 727063283 825315078 1045775955 1375525130 1454126566 2063287695 2091551910 2181189849 3635316415 4126575390 4362379698 5089442981 7270632830 10178885962 10905949245 15268328943 21811898490 25447214905 30536657886 50894429810 76341644715 152683289430