Search a number
-
+
5997412872 = 23321116346457
BaseRepresentation
bin1011001010111100…
…10100001000001000
3120110222012010210200
411211132110020020
544240314202442
62431041212200
7301423111503
oct54536241010
916428163720
105997412872
1125a8424070
1211b4631060
137476a1319
1440c73813a
152517c634c
hex165794208

5997412872 has 96 divisors (see below), whose sum is σ = 17828722080. Its totient is φ = 1806209280.

The previous prime is 5997412859. The next prime is 5997412873. The reversal of 5997412872 is 2782147995.

5997412872 is a `hidden beast` number, since 599 + 7 + 41 + 2 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×59974128722 = 71937922314462576768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5997412873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105868 + ... + 152324.

It is an arithmetic number, because the mean of its divisors is an integer number (185715855).

Almost surely, 25997412872 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 5997412872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8914361040).

5997412872 is an abundant number, since it is smaller than the sum of its proper divisors (11831309208).

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

5997412872 is a wasteful number, since it uses less digits than its factorization.

5997412872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46643 (or 46636 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 5997412872 is about 77442.9652841367. The cubic root of 5997412872 is about 1816.8593817535.

The spelling of 5997412872 in words is "five billion, nine hundred ninety-seven million, four hundred twelve thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 163 198 264 326 396 489 652 792 978 1304 1467 1793 1956 2934 3586 3912 5379 5868 7172 10758 11736 14344 16137 21516 32274 43032 46457 64548 92914 129096 139371 185828 278742 371656 418113 511027 557484 836226 1022054 1114968 1533081 1672452 2044108 3066162 3344904 4088216 4599243 6132324 7572491 9198486 12264648 15144982 18396972 22717473 30289964 36793944 45434946 60579928 68152419 83297401 90869892 136304838 166594802 181739784 249892203 272609676 333189604 499784406 545219352 666379208 749676609 999568812 1499353218 1999137624 2998706436 5997412872