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14633740900 = 2252120972
BaseRepresentation
bin11011010000011110…
…10010101001100100
31101202211222001122201
431220033102221210
5214432214202100
610420031504244
71025431513432
oct155017225144
941684861581
1014633740900
11622a402149
122a04988084
1314c29bc3ac
149cb723d52
155a9ab836a
hex3683d2a64

14633740900 has 27 divisors (see below), whose sum is σ = 31757843019. Its totient is φ = 5853012480.

The previous prime is 14633740889. The next prime is 14633740921. The reversal of 14633740900 is 904733641.

The square root of 14633740900 is 120970.

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 6944555556 + 7689185344 = 83334^2 + 87688^2 .

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 14633740900.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1203652 + ... + 1215748.

Almost surely, 214633740900 is an apocalyptic number.

14633740900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14633740900 is the 120970-th square number.

It is an amenable number.

14633740900 is an abundant number, since it is smaller than the sum of its proper divisors (17124102119).

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

14633740900 is an frugal number, since it uses more digits than its factorization.

14633740900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24208 (or 12104 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 14633740900 in words is "fourteen billion, six hundred thirty-three million, seven hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 12097 24194 48388 60485 120970 241940 302425 604850 1209700 146337409 292674818 585349636 731687045 1463374090 2926748180 3658435225 7316870450 14633740900