Search a number
-
+
23151233504 = 257316475153
BaseRepresentation
bin10101100011111010…
…111100100111100000
32012202110010111221202
4111203322330213200
5334403203433004
614345135140332
71446465144410
oct254372744740
965673114852
1023151233504
1199002a4433
1245a13746a8
13224c500649
141198a18640
15907734b1e
hex563ebc9e0

23151233504 has 96 divisors (see below), whose sum is σ = 53864165376. Its totient is φ = 9585192960.

The previous prime is 23151233503. The next prime is 23151233527. The reversal of 23151233504 is 40533215132.

It is a happy number.

It is a super-2 number, since 2×231512335042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23151233503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4490192 + ... + 4495344.

It is an arithmetic number, because the mean of its divisors is an integer number (561085056).

Almost surely, 223151233504 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 23151233504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26932082688).

23151233504 is an abundant number, since it is smaller than the sum of its proper divisors (30712931872).

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

23151233504 is a wasteful number, since it uses less digits than its factorization.

23151233504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 23151233504 its reverse (40533215132), we get a palindrome (63684448636).

The spelling of 23151233504 in words is "twenty-three billion, one hundred fifty-one million, two hundred thirty-three thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 647 868 992 1294 1736 2588 3472 4529 5153 5176 6944 9058 10306 10352 18116 20057 20612 20704 36071 36232 40114 41224 72142 72464 80228 82448 140399 144284 144928 159743 160456 164896 280798 288568 319486 320912 561596 577136 638972 641824 1118201 1123192 1154272 1277944 2236402 2246384 2555888 3333991 4472804 4492768 5111776 6667982 8945608 13335964 17891216 23337937 26671928 35782432 46675874 53343856 93351748 103353721 106687712 186703496 206707442 373406992 413414884 723476047 746813984 826829768 1446952094 1653659536 2893904188 3307319072 5787808376 11575616752 23151233504