Search a number
-
+
934245966096 = 2434268492
BaseRepresentation
bin11011001100001010110…
…01100010000100010000
310022022110012121102010000
431212011121202010100
5110301313431403341
61553104153210000
7124332325454202
oct15460531420420
93268405542100
10934245966096
11330236546013
12131091100900
136a139702181
14333096d0772
151947dcb48b6
hexd985662110

934245966096 has 75 divisors (see below), whose sum is σ = 2704079586901. Its totient is φ = 311403723264.

The previous prime is 934245966079. The next prime is 934245966097. The reversal of 934245966096 is 690669542439.

The square root of 934245966096 is 966564.

It is a perfect power (a square), and thus also a powerful number.

934245966096 is a `hidden beast` number, since 9 + 34 + 2 + 4 + 596 + 6 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 255797223696 + 678448742400 = 505764^2 + 823680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (934245966097) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 34782880 + ... + 34809728.

Almost surely, 2934245966096 is an apocalyptic number.

934245966096 is the 966564-th square number.

It is an amenable number.

934245966096 is an abundant number, since it is smaller than the sum of its proper divisors (1769833620805).

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

934245966096 is an frugal number, since it uses more digits than its factorization.

934245966096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53718 (or 26854 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 934245966096 in words is "nine hundred thirty-four billion, two hundred forty-five million, nine hundred sixty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 26849 53698 80547 107396 161094 214792 241641 322188 429584 483282 644376 724923 966564 1288752 1449846 1933128 2174769 2899692 3866256 4349538 5799384 8699076 11598768 17398152 34796304 720868801 1441737602 2162606403 2883475204 4325212806 5766950408 6487819209 8650425612 11533900816 12975638418 17300851224 19463457627 25951276836 34601702448 38926915254 51902553672 58390372881 77853830508 103805107344 116780745762 155707661016 233561491524 311415322032 467122983048 934245966096