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5983667144 = 2372136119249
BaseRepresentation
bin1011001001010011…
…11000001111001000
3120110000022210012122
411210221320033020
544223304322034
62425430430412
7301165221500
oct54451701710
916400283178
105983667144
1125a0695764
1211abb02408
1374489a860
1440a99aa00
152504ad62e
hex164a783c8

5983667144 has 96 divisors (see below), whose sum is σ = 14286195000. Its totient is φ = 2328238080.

The previous prime is 5983667111. The next prime is 5983667147. The reversal of 5983667144 is 4417663895.

It can be written as a sum of positive squares in 4 ways, for example, as 3322139044 + 2661528100 = 57638^2 + 51590^2 .

It is not an unprimeable number, because it can be changed into a prime (5983667147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301232 + ... + 320480.

Almost surely, 25983667144 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 5983667144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7143097500).

5983667144 is an abundant number, since it is smaller than the sum of its proper divisors (8302527856).

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

5983667144 is a wasteful number, since it uses less digits than its factorization.

5983667144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19343 (or 19332 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 53.

The square root of 5983667144 is about 77354.1669465841. The cubic root of 5983667144 is about 1815.4702739585.

The spelling of 5983667144 in words is "five billion, nine hundred eighty-three million, six hundred sixty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 61 91 98 104 122 182 196 244 364 392 427 488 637 728 793 854 1274 1586 1708 2548 2989 3172 3416 5096 5551 5978 6344 11102 11956 19249 22204 23912 38498 38857 44408 76996 77714 134743 153992 155428 250237 269486 310856 500474 538972 943201 1000948 1077944 1174189 1751659 1886402 2001896 2348378 3503318 3772804 4696756 7006636 7545608 8219323 9393512 12261613 14013272 15264457 16438646 24523226 30528914 32877292 49046452 57535261 61057828 65754584 98092904 106851199 115070522 122115656 213702398 230141044 427404796 460282088 747958393 854809592 1495916786 2991833572 5983667144