Search a number
-
+
23958085932 = 22331137214731
BaseRepresentation
bin10110010100000000…
…110110000100101100
32021211200100212102000
4112110000312010230
5343031232222212
615001200532300
71505463241014
oct262400660454
967750325360
1023958085932
11a184795620
124787621090
13234a712511
141233c48c44
159534b21dc
hex59403612c

23958085932 has 144 divisors (see below), whose sum is σ = 69645824640. Its totient is φ = 7063329600.

The previous prime is 23958085909. The next prime is 23958085979.

23958085932 is a `hidden beast` number, since 2 + 3 + 9 + 580 + 8 + 59 + 3 + 2 = 666.

23958085932 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1619007 + ... + 1633737.

It is an arithmetic number, because the mean of its divisors is an integer number (483651560).

Almost surely, 223958085932 is an apocalyptic number.

23958085932 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23958085932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34822912320).

23958085932 is an abundant number, since it is smaller than the sum of its proper divisors (45687738708).

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

23958085932 is a wasteful number, since it uses less digits than its factorization.

23958085932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14829 (or 14784 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 23958085932 in words is "twenty-three billion, nine hundred fifty-eight million, eighty-five thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 108 111 132 148 198 222 297 333 396 407 444 594 666 814 999 1188 1221 1332 1369 1628 1998 2442 2738 3663 3996 4107 4884 5476 7326 8214 10989 12321 14652 14731 15059 16428 21978 24642 29462 30118 36963 43956 44193 45177 49284 58924 60236 73926 88386 90354 132579 135531 147852 162041 176772 180708 265158 271062 324082 397737 406593 486123 530316 542124 545047 648164 795474 813186 972246 1090094 1458369 1590948 1626372 1635141 1944492 2180188 2916738 3270282 4375107 4905423 5833476 5995517 6540564 8750214 9810846 11991034 14716269 17500428 17986551 19621692 20166739 23982068 29432538 35973102 40333478 53959653 58865076 60500217 71946204 80666956 107919306 121000434 161878959 181500651 215838612 221834129 242000868 323757918 363001302 443668258 544501953 647515836 665502387 726002604 887336516 1089003906 1331004774 1996507161 2178007812 2662009548 3993014322 5989521483 7986028644 11979042966 23958085932