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23632912900 = 2252153732
BaseRepresentation
bin10110000000101000…
…011010001000000100
32021000000111100212101
4112000220122020010
5341400011203100
614505023201444
71464434305462
oct260050321004
967000440771
1023632912900
11a028188283
1246b6746284
1322c823c83c
1412029a1832
15934b7e86a
hex580a1a204

23632912900 has 27 divisors (see below), whose sum is σ = 51286757151. Its totient is φ = 9452550240.

The previous prime is 23632912879. The next prime is 23632912903. The reversal of 23632912900 is 921923632.

The square root of 23632912900 is 153730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12202737156 + 11430175744 = 110466^2 + 106912^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23632912900.

It is not an unprimeable number, because it can be changed into a prime (23632912903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1529614 + ... + 1544986.

Almost surely, 223632912900 is an apocalyptic number.

23632912900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23632912900 is the 153730-th square number.

It is an amenable number.

23632912900 is an abundant number, since it is smaller than the sum of its proper divisors (27653844251).

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

23632912900 is an frugal number, since it uses more digits than its factorization.

23632912900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30760 (or 15380 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 23632912900 in words is "twenty-three billion, six hundred thirty-two million, nine hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 15373 30746 61492 76865 153730 307460 384325 768650 1537300 236329129 472658258 945316516 1181645645 2363291290 4726582580 5908228225 11816456450 23632912900