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30943394064 = 24331144314699
BaseRepresentation
bin11100110100010111…
…101011100100010000
32221212111110021202000
4130310113223210100
51001333002102224
622114252154000
72143543336602
oct346427534420
987774407660
1030943394064
1112139814a50
125bb6a68900
132bc197313b
1416d785d172
15c118780c9
hex7345eb910

30943394064 has 160 divisors (see below), whose sum is σ = 97118784000. Its totient is φ = 9354983040.

The previous prime is 30943394047. The next prime is 30943394071. The reversal of 30943394064 is 46049334903.

30943394064 is a `hidden beast` number, since 309 + 4 + 339 + 4 + 0 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2097787 + ... + 2112485.

It is an arithmetic number, because the mean of its divisors is an integer number (606992400).

Almost surely, 230943394064 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 30943394064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48559392000).

30943394064 is an abundant number, since it is smaller than the sum of its proper divisors (66175389936).

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

30943394064 is a wasteful number, since it uses less digits than its factorization.

30943394064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15170 (or 15158 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 30943394064 in words is "thirty billion, nine hundred forty-three million, three hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 443 528 594 792 886 1188 1329 1584 1772 2376 2658 3544 3987 4752 4873 5316 7088 7974 9746 10632 11961 14619 14699 15948 19492 21264 23922 29238 29398 31896 38984 43857 44097 47844 58476 58796 63792 77968 87714 88194 95688 116952 117592 131571 132291 161689 175428 176388 191376 233904 235184 263142 264582 323378 350856 352776 396873 485067 526284 529164 646756 701712 705552 793746 970134 1052568 1058328 1293512 1455201 1587492 1940268 2105136 2116656 2587024 2910402 3174984 3880536 4365603 5820804 6349968 6511657 7761072 8731206 11641608 13023314 17462412 19534971 23283216 26046628 34924824 39069942 52093256 58604913 69849648 71628227 78139884 104186512 117209826 143256454 156279768 175814739 214884681 234419652 286512908 312559536 351629478 429769362 468839304 573025816 644654043 703258956 859538724 937678608 1146051632 1289308086 1406517912 1719077448 1933962129 2578616172 2813035824 3438154896 3867924258 5157232344 7735848516 10314464688 15471697032 30943394064