Search a number
-
+
30661641164460 = 22351153636169677
BaseRepresentation
bin1101111100010111110000…
…01110101101011010101100
311000120020001111021102010110
412332023320032231122230
513004330020114230320
6145113432525340020
76313142023450035
oct676137016553254
9130506044242113
1030661641164460
1198515900a9879
123532521707610
1314154c3843267
14780062051a8c
153828a64ca5e0
hex1be2f83ad6ac

30661641164460 has 96 divisors (see below), whose sum is σ = 85941797280192. Its totient is φ = 8167944683520.

The previous prime is 30661641164393. The next prime is 30661641164509. The reversal of 30661641164460 is 6446114616603.

30661641164460 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440019142 + ... + 440088818.

It is an arithmetic number, because the mean of its divisors is an integer number (895227055002).

Almost surely, 230661641164460 is an apocalyptic number.

30661641164460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30661641164460 is an abundant number, since it is smaller than the sum of its proper divisors (55280156115732).

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

30661641164460 is a wasteful number, since it uses less digits than its factorization.

30661641164460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77203 (or 77201 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 30661641164460 in words is "thirty trillion, six hundred sixty-one billion, six hundred forty-one million, one hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1153 2306 3459 4612 5765 6361 6918 11530 12722 13836 17295 19083 23060 25444 31805 34590 38166 63610 69180 69677 76332 95415 127220 139354 190830 209031 278708 348385 381660 418062 696770 836124 1045155 1393540 2090310 4180620 7334233 14668466 22002699 29336932 36671165 44005398 73342330 80337581 88010796 110013495 146684660 160675162 220026990 241012743 321350324 401687905 440053980 443215397 482025486 803375810 886430794 964050972 1205063715 1329646191 1606751620 1772861588 2216076985 2410127430 2659292382 4432153970 4820254860 5318584764 6648230955 8864307940 13296461910 26592923820 511027352741 1022054705482 1533082058223 2044109410964 2555136763705 3066164116446 5110273527410 6132328232892 7665410291115 10220547054820 15330820582230 30661641164460