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23092061376400 = 24522402712
BaseRepresentation
bin1010100000000100010100…
…00111011000111110010000
310000202120122110110021001021
411100002022013120332100
511011320020203021100
6121040202504245224
74602226544043202
oct520021207307620
9100676573407037
1023092061376400
1173a3319702465
12270b490770814
13cb6758a1c853
1459b939b26772
152a0a268dea1a
hex15008a1d8f90

23092061376400 has 45 divisors (see below), whose sum is σ = 55478908358193. Its totient is φ = 9236786107200.

The previous prime is 23092061376343. The next prime is 23092061376407. The reversal of 23092061376400 is 467316029032.

The square root of 23092061376400 is 4805420.

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

It can be written as a sum of positive squares in only one way, i.e., 8313142095504 + 14778919280896 = 2883252^2 + 3844336^2 .

It is a super-2 number, since 2×230920613764002 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23092061376407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95988265 + ... + 96228535.

Almost surely, 223092061376400 is an apocalyptic number.

23092061376400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23092061376400 is the 4805420-th square number.

It is an amenable number.

23092061376400 is an abundant number, since it is smaller than the sum of its proper divisors (32386846981793).

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

23092061376400 is an frugal number, since it uses more digits than its factorization.

23092061376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480560 (or 240278 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The spelling of 23092061376400 in words is "twenty-three trillion, ninety-two billion, sixty-one million, three hundred seventy-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 240271 480542 961084 1201355 1922168 2402710 3844336 4805420 6006775 9610840 12013550 19221680 24027100 48054200 96108400 57730153441 115460306882 230920613764 288650767205 461841227528 577301534410 923682455056 1154603068820 1443253836025 2309206137640 2886507672050 4618412275280 5773015344100 11546030688200 23092061376400