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23058915880900 = 2252433211092
BaseRepresentation
bin1010011111000110100100…
…11111010110111111000100
310000122102002111100122000211
411033203102133112333010
511010244124431142100
6121013041505245204
74566644301012424
oct517432237267704
9100572074318024
1023058915880900
11739025a963079
122704b80333804
13cb35a5a90713
1459a0b3a40484
1529ec36a821ba
hex14f8d27d6fc4

23058915880900 has 81 divisors (see below), whose sum is σ = 50198940207381. Its totient is φ = 9193967009280.

The previous prime is 23058915880873. The next prime is 23058915880927. The reversal of 23058915880900 is 908851985032.

The square root of 23058915880900 is 4801970.

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

It is an interprime number because it is at equal distance from previous prime (23058915880873) and next prime (23058915880927).

It can be written as a sum of positive squares in 13 ways, for example, as 18544684773316 + 4514231107584 = 4306354^2 + 2124672^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20792529546 + ... + 20792530654.

Almost surely, 223058915880900 is an apocalyptic number.

23058915880900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23058915880900 is the 4801970-th square number.

It is an amenable number.

23058915880900 is an abundant number, since it is smaller than the sum of its proper divisors (27140024326481).

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

23058915880900 is an frugal number, since it uses more digits than its factorization.

23058915880900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 58.

The spelling of 23058915880900 in words is "twenty-three trillion, fifty-eight billion, nine hundred fifteen million, eight hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 433 866 1109 1732 2165 2218 4330 4436 5545 8660 10825 11090 21650 22180 27725 43300 55450 110900 187489 374978 480197 749956 937445 960394 1229881 1874890 1920788 2400985 2459762 3749780 4687225 4801970 4919524 6149405 9374450 9603940 12004925 12298810 18748900 24009850 24597620 30747025 48019700 61494050 122988100 207925301 415850602 532538473 831701204 1039626505 1065076946 2079253010 2130153892 2662692365 4158506020 5198132525 5325384730 10396265050 10650769460 13313461825 20792530100 26626923650 53253847300 230589158809 461178317618 922356635236 1152945794045 2305891588090 4611783176180 5764728970225 11529457940450 23058915880900