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23140436788 = 2272179771597
BaseRepresentation
bin10101100011010001…
…110000101100110100
32012201200210222122101
4111203101300230310
5334342422434123
614344111511444
71446304316200
oct254321605464
965650728571
1023140436788
1198a519a727
124599828584
13224a1c0261
141197407b00
15906800aad
hex563470b34

23140436788 has 72 divisors (see below), whose sum is σ = 50393249928. Its totient is φ = 9237602304.

The previous prime is 23140436783. The next prime is 23140436801. The reversal of 23140436788 is 88763404132.

It can be written as a sum of positive squares in 4 ways, for example, as 11884924324 + 11255512464 = 109018^2 + 106092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23140436783) 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, 287406 + ... + 359002.

It is an arithmetic number, because the mean of its divisors is an integer number (699906249).

Almost surely, 223140436788 is an apocalyptic number.

23140436788 is a gapful number since it is divisible by the number (28) 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 23140436788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25196624964).

23140436788 is an abundant number, since it is smaller than the sum of its proper divisors (27252813140).

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

23140436788 is a wasteful number, since it uses less digits than its factorization.

23140436788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71729 (or 71720 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 23140436788 in words is "twenty-three billion, one hundred forty million, four hundred thirty-six thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 68 97 98 119 194 196 238 388 476 679 833 1358 1649 1666 2716 3298 3332 4753 6596 9506 11543 19012 23086 46172 71597 80801 143194 161602 286388 323204 501179 1002358 1217149 2004716 2434298 3508253 4868596 6944909 7016506 8520043 13889818 14033012 17040086 27779636 34080172 48614363 59640301 97228726 118063453 119280602 194457452 236126906 238561204 340300541 472253812 680601082 826444171 1361202164 1652888342 3305776684 5785109197 11570218394 23140436788