Search a number
-
+
146170686912 = 26319307130517
BaseRepresentation
bin1000100000100001110…
…0111010110111000000
3111222021212221020211220
42020020130322313000
54343324143440122
6151052213035040
713363150224105
oct2101034726700
9458255836756
10146170686912
1156a995a6598
12243b4325a80
1310a26120923
147108d8caac
153c0782325c
hex220873adc0

146170686912 has 112 divisors (see below), whose sum is σ = 408427367040. Its totient is φ = 46008456192.

The previous prime is 146170686901. The next prime is 146170686923. The reversal of 146170686912 is 219686071641.

It is an interprime number because it is at equal distance from previous prime (146170686901) and next prime (146170686923).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054678 + ... + 1185194.

It is an arithmetic number, because the mean of its divisors is an integer number (3646672920).

Almost surely, 2146170686912 is an apocalyptic number.

146170686912 is a gapful number since it is divisible by the number (12) 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 146170686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204213683520).

146170686912 is an abundant number, since it is smaller than the sum of its proper divisors (262256680128).

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

146170686912 is a wasteful number, since it uses less digits than its factorization.

146170686912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130858 (or 130848 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 146170686912 in words is "one hundred forty-six billion, one hundred seventy million, six hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 307 456 608 614 912 921 1216 1228 1824 1842 2456 3648 3684 4912 5833 7368 9824 11666 14736 17499 19648 23332 29472 34998 46664 58944 69996 93328 130517 139992 186656 261034 279984 373312 391551 522068 559968 783102 1044136 1119936 1566204 2088272 2479823 3132408 4176544 4959646 6264816 7439469 8353088 9919292 12529632 14878938 19838584 25059264 29757876 39677168 40068719 59515752 79354336 80137438 119031504 120206157 158708672 160274876 238063008 240412314 320549752 476126016 480824628 641099504 761305661 961649256 1282199008 1522611322 1923298512 2283916983 2564398016 3045222644 3846597024 4567833966 6090445288 7693194048 9135667932 12180890576 18271335864 24361781152 36542671728 48723562304 73085343456 146170686912