Search a number
-
+
58314333696 = 29347979259
BaseRepresentation
bin110110010011110011…
…100001111000000000
312120112000201002021220
4312103303201320000
51423411432134241
642442250315040
74133040441453
oct662363417000
9176460632256
1058314333696
1122804a15013
12b375428a80
13566445bbc8
142b72a5d49a
1517b4781166
hexd93ce1e00

58314333696 has 80 divisors (see below), whose sum is σ = 155679321600. Its totient is φ = 19397285888.

The previous prime is 58314333677. The next prime is 58314333703. The reversal of 58314333696 is 69633341385.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696115 + ... + 775373.

It is an arithmetic number, because the mean of its divisors is an integer number (1945991520).

Almost surely, 258314333696 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 58314333696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77839660800).

58314333696 is an abundant number, since it is smaller than the sum of its proper divisors (97364987904).

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

58314333696 is an equidigital number, since it uses as much as digits as its factorization.

58314333696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79759 (or 79743 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 51.

The spelling of 58314333696 in words is "fifty-eight billion, three hundred fourteen million, three hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 479 512 768 958 1437 1536 1916 2874 3832 5748 7664 11496 15328 22992 30656 45984 61312 79259 91968 122624 158518 183936 237777 245248 317036 367872 475554 634072 735744 951108 1268144 1902216 2536288 3804432 5072576 7608864 10145152 15217728 20290304 30435456 37965061 40580608 60870912 75930122 113895183 121741824 151860244 227790366 303720488 455580732 607440976 911161464 1214881952 1822322928 2429763904 3644645856 4859527808 7289291712 9719055616 14578583424 19438111232 29157166848 58314333696