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30680770405168 = 24131721513380089
BaseRepresentation
bin1101111100111011011000…
…11010111110001100110000
311000122001102122022112012001
412332131230122332030300
513010133204210431133
6145130315031343344
76314420043352102
oct676355432761460
9130561378275161
1030680770405168
119859707058514
12353617bb21b54
1314172519c19c0
14780d5882d572
15383125a9387d
hex1be76c6be330

30680770405168 has 120 divisors (see below), whose sum is σ = 68454177575840. Its totient is φ = 13239128678400.

The previous prime is 30680770405157. The next prime is 30680770405213. The reversal of 30680770405168 is 86150407708603.

It is a super-2 number, since 2×306807704051682 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7386868 + ... + 10766956.

Almost surely, 230680770405168 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 30680770405168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34227088787920).

30680770405168 is an abundant number, since it is smaller than the sum of its proper divisors (37773407170672).

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

30680770405168 is a wasteful number, since it uses less digits than its factorization.

30680770405168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380295 (or 3380272 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 30680770405168 in words is "thirty trillion, six hundred eighty billion, seven hundred seventy million, four hundred five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 151 208 221 272 289 302 442 578 604 884 1156 1208 1768 1963 2312 2416 2567 3536 3757 3926 4624 5134 7514 7852 10268 15028 15704 20536 30056 31408 33371 41072 43639 60112 66742 87278 133484 174556 266968 349112 533936 567307 698224 1134614 2269228 3380089 4538456 6760178 9076912 13520356 27040712 43941157 54081424 57461513 87882314 114923026 175764628 229846052 351529256 459692104 510393439 703058512 746999669 919384208 976845721 1020786878 1493999338 1953691442 2041573756 2987998676 3907382884 4083147512 5975997352 6635114707 7814765768 8166295024 8676688463 11951994704 12698994373 13270229414 15629531536 17353376926 25397988746 26540458828 34706753852 50795977492 53080917656 69413507704 101591954984 106161835312 112796950019 138827015408 147503703871 203183909968 225593900038 295007407742 451187800076 590014815484 902375600152 1180029630968 1804751200304 1917548150323 2360059261936 3835096300646 7670192601292 15340385202584 30680770405168