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30800870784 = 273416717789
BaseRepresentation
bin11100101011110111…
…111111110110000000
32221111120021100120000
4130223313333312000
51001040010331114
622052201320000
72140163040045
oct345367776600
987446240500
1030800870784
111207631a112
125b77196000
132b9b291438
1416c295d1cc
15c040c3e09
hex72bdffd80

30800870784 has 160 divisors (see below), whose sum is σ = 92216955600. Its totient is φ = 10204904448.

The previous prime is 30800870783. The next prime is 30800870813. The reversal of 30800870784 is 48707800803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30800870783) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1722562 + ... + 1740350.

Almost surely, 230800870784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30800870784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46108477800).

30800870784 is an abundant number, since it is smaller than the sum of its proper divisors (61416084816).

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

30800870784 is a wasteful number, since it uses less digits than its factorization.

30800870784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17982 (or 17961 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 30800870784 in words is "thirty billion, eight hundred million, eight hundred seventy thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 167 192 216 288 324 334 384 432 501 576 648 668 864 1002 1152 1296 1336 1503 1728 2004 2592 2672 3006 3456 4008 4509 5184 5344 6012 8016 9018 10368 10688 12024 13527 16032 17789 18036 21376 24048 27054 32064 35578 36072 48096 53367 54108 64128 71156 72144 96192 106734 108216 142312 144288 160101 192384 213468 216432 284624 288576 320202 426936 432864 480303 569248 577152 640404 853872 865728 960606 1138496 1280808 1440909 1707744 1731456 1921212 2276992 2561616 2881818 2970763 3415488 3842424 5123232 5763636 5941526 6830976 7684848 8912289 10246464 11527272 11883052 15369696 17824578 20492928 23054544 23766104 26736867 30739392 35649156 46109088 47532208 53473734 61478784 71298312 80210601 92218176 95064416 106947468 142596624 160421202 184436352 190128832 213894936 240631803 285193248 320842404 380257664 427789872 481263606 570386496 641684808 855579744 962527212 1140772992 1283369616 1711159488 1925054424 2566739232 3422318976 3850108848 5133478464 7700217696 10266956928 15400435392 30800870784