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506140514612430 = 235171289976938707
BaseRepresentation
bin111001100010101010000010…
…1100101000111010011001110
32110101002120010201011002121120
41303011110011211013103032
51012320101233220044210
64552245424212341410
7211416305534112135
oct16305240545072316
92411076121132546
10506140514612430
111372a9a94496295
124892550a314866
1318955acc0b5969
148cdb48dd5491c
153d7ad2285a270
hex1cc55059474ce

506140514612430 has 64 divisors (see below), whose sum is σ = 1286292095827200. Its totient is φ = 127021495038464.

The previous prime is 506140514612393. The next prime is 506140514612489. The reversal of 506140514612430 is 34216415041605.

It is a super-2 number, since 2×5061405146124302 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31890864 + ... + 45047843.

It is an arithmetic number, because the mean of its divisors is an integer number (20098313997300).

Almost surely, 2506140514612430 is an apocalyptic number.

506140514612430 is an abundant number, since it is smaller than the sum of its proper divisors (780151581214770).

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

506140514612430 is a wasteful number, since it uses less digits than its factorization.

506140514612430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76951633.

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 506140514612430 in words is "five hundred six trillion, one hundred forty billion, five hundred fourteen million, six hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 12899 25798 38697 64495 77394 128990 193485 219283 386970 438566 657849 1096415 1315698 2192830 3289245 6578490 76938707 153877414 230816121 384693535 461632242 769387070 1154080605 1307958019 2308161210 2615916038 3923874057 6539790095 7847748114 13079580190 19619370285 39238740570 992432381593 1984864763186 2977297144779 4962161907965 5954594289558 9924323815930 14886485723895 16871350487081 29772971447790 33742700974162 50614051461243 84356752435405 101228102922486 168713504870810 253070257306215 506140514612430