Search a number
-
+
59196836416 = 2617217892
BaseRepresentation
bin110111001000011010…
…000000101001000000
312122210112021212102211
4313020122000221000
51432213342231131
643110013351504
74163644543624
oct671032005100
9178715255384
1059196836416
1123118086403
12b580a98594
13577523a373
142c17d43184
151816ea35b1
hexdc8680a40

59196836416 has 63 divisors (see below), whose sum is σ = 124854903579. Its totient is φ = 27841763328.

The previous prime is 59196836381. The next prime is 59196836423. The reversal of 59196836416 is 61463869195.

It is a happy number.

The square root of 59196836416 is 243304.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33051240000 + 26145596416 = 181800^2 + 161696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33088450 + ... + 33090238.

Almost surely, 259196836416 is an apocalyptic number.

59196836416 is the 243304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59196836416

59196836416 is an abundant number, since it is smaller than the sum of its proper divisors (65658067163).

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

59196836416 is an frugal number, since it uses more digits than its factorization.

59196836416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 1808 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 58.

The spelling of 59196836416 in words is "fifty-nine billion, one hundred ninety-six million, eight hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 1789 2312 3578 4624 7156 9248 14312 18496 28624 30413 57248 60826 114496 121652 243304 486608 517021 973216 1034042 1946432 2068084 3200521 4136168 6401042 8272336 12802084 16544672 25604168 33089344 51208336 54408857 102416672 108817714 204833344 217635428 435270856 870541712 924950569 1741083424 1849901138 3482166848 3699802276 7399604552 14799209104 29598418208 59196836416