Search a number
-
+
185030613984 = 253103158311821
BaseRepresentation
bin1010110001010010101…
…1110001101111100000
3122200121002202002022010
42230110223301233200
511012420314121414
6221000224112520
716240142161116
oct2542453615740
9580532662263
10185030613984
117151aa599a7
122ba3a465740
13145a9c31708
148d53d89ab6
154c2e1aa959
hex2b14af1be0

185030613984 has 96 divisors (see below), whose sum is σ = 490772265984. Its totient is φ = 61034319360.

The previous prime is 185030613961. The next prime is 185030614001. The reversal of 185030613984 is 489316030581.

185030613984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1850306139842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 15646794 + ... + 15658614.

It is an arithmetic number, because the mean of its divisors is an integer number (5112211104).

Almost surely, 2185030613984 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 185030613984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245386132992).

185030613984 is an abundant number, since it is smaller than the sum of its proper divisors (305741652000).

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

185030613984 is a wasteful number, since it uses less digits than its factorization.

185030613984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13520 (or 13512 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 185030613984 in words is "one hundred eighty-five billion, thirty million, six hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1583 1648 2472 3166 3296 4749 4944 6332 9498 9888 11821 12664 18996 23642 25328 35463 37992 47284 50656 70926 75984 94568 141852 151968 163049 189136 283704 326098 378272 489147 567408 652196 978294 1134816 1217563 1304392 1956588 2435126 2608784 3652689 3913176 4870252 5217568 7305378 7826352 9740504 14610756 15652704 18712643 19481008 29221512 37425286 38962016 56137929 58443024 74850572 112275858 116886048 149701144 224551716 299402288 449103432 598804576 898206864 1796413728 1927402229 3854804458 5782206687 7709608916 11564413374 15419217832 23128826748 30838435664 46257653496 61676871328 92515306992 185030613984