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5983832664 = 2333162717027
BaseRepresentation
bin1011001001010101…
…00000101001011000
3120110000122012021000
411210222200221120
544223330121124
62425434145000
7301166511165
oct54452405130
916400565230
105983832664
1125a0799057
1211abb82160
13744927cb4
1440aa0106c
152504e26c9
hex164aa0a58

5983832664 has 64 divisors (see below), whose sum is σ = 16632950400. Its totient is φ = 1993267872.

The previous prime is 5983832663. The next prime is 5983832677. The reversal of 5983832664 is 4662383895.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5983832664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5983832663) 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 15 ways as a sum of consecutive naturals, for example, 342919 + ... + 359945.

It is an arithmetic number, because the mean of its divisors is an integer number (259889850).

Almost surely, 25983832664 is an apocalyptic number.

5983832664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5983832664 is an abundant number, since it is smaller than the sum of its proper divisors (10649117736).

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

5983832664 is a wasteful number, since it uses less digits than its factorization.

5983832664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18669 (or 18659 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 5983832664 is about 77355.2368233722. The cubic root of 5983832664 is about 1815.4870136301.

The spelling of 5983832664 in words is "five billion, nine hundred eighty-three million, eight hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1627 3254 4881 6508 9762 13016 14643 17027 19524 29286 34054 39048 43929 51081 58572 68108 87858 102162 117144 136216 153243 175716 204324 306486 351432 408648 459729 612972 919458 1225944 1838916 3677832 27702929 55405858 83108787 110811716 166217574 221623432 249326361 332435148 498652722 664870296 747979083 997305444 1495958166 1994610888 2991916332 5983832664