Search a number
-
+
12530160632256 = 263281370962617
BaseRepresentation
bin1011011001010110011111…
…0001100000000111000000
31122100212112102211200102220
42312111213301200013000
53120243232110213011
642352135404211040
72432163030022341
oct266254761400700
948325472750386
1012530160632256
113aa101401a763
1214a4519539a80
136cb787284c07
1431466a7020c8
1516ae1180c506
hexb6567c601c0

12530160632256 has 112 divisors (see below), whose sum is σ = 33280199611680. Its totient is φ = 4160667893760.

The previous prime is 12530160632233. The next prime is 12530160632293. The reversal of 12530160632256 is 65223606103521.

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200076660 + ... + 200139276.

It is an arithmetic number, because the mean of its divisors is an integer number (297144639390).

Almost surely, 212530160632256 is an apocalyptic number.

12530160632256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12530160632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16640099805840).

12530160632256 is an abundant number, since it is smaller than the sum of its proper divisors (20750038979424).

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

12530160632256 is a wasteful number, since it uses less digits than its factorization.

12530160632256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66622 (or 66612 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

Adding to 12530160632256 its reverse (65223606103521), we get a palindrome (77753766735777).

The spelling of 12530160632256 in words is "twelve trillion, five hundred thirty billion, one hundred sixty million, six hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 281 562 843 1124 1686 2248 3372 3709 4496 6744 7418 8992 11127 13488 14836 17984 22254 26976 29672 44508 53952 59344 62617 89016 118688 125234 178032 187851 237376 250468 356064 375702 500936 712128 751404 1001872 1042229 1502808 2003744 2084458 3005616 3126687 4007488 4168916 6011232 6253374 8337832 12022464 12506748 16675664 17595377 25013496 33351328 35190754 50026992 52786131 66702656 70381508 100053984 105572262 140763016 200107968 211144524 232246453 281526032 422289048 464492906 563052064 696739359 844578096 928985812 1126104128 1393478718 1689156192 1857971624 2786957436 3378312384 3715943248 5573914872 7431886496 11147829744 14863772992 22295659488 44591318976 65261253293 130522506586 195783759879 261045013172 391567519758 522090026344 783135039516 1044180052688 1566270079032 2088360105376 3132540158064 4176720210752 6265080316128 12530160632256