Search a number
-
+
23849001999936 = 26362329832
BaseRepresentation
bin1010110110000110001110…
…10010101101111001000000
310010102221102221210001000000
411123003013102231321000
511111220224002444221
6122420025201000000
75011014334142421
oct533030722557100
9103387387701000
1023849001999936
117665339983313
12281211a623000
13103cc49b43229
145c642545d648
152b5579827e26
hex15b0c74ade40

23849001999936 has 441 divisors, whose sum is σ = 74250277218859. Its totient is φ = 7596294089472.

The previous prime is 23849001999923. The next prime is 23849001999937. The reversal of 23849001999936 is 63999910094832.

The square root of 23849001999936 is 4883544.

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

23849001999936 is a `hidden beast` number, since 2 + 3 + 8 + 490 + 0 + 19 + 9 + 99 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23849001999937) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 24261446101 + ... + 24261447083.

Almost surely, 223849001999936 is an apocalyptic number.

23849001999936 is the 4883544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23849001999936

23849001999936 is an abundant number, since it is smaller than the sum of its proper divisors (50401275218923).

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

23849001999936 is an frugal number, since it uses more digits than its factorization.

23849001999936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 204073344, while the sum is 72.

It can be divided in two parts, 2384900 and 1999936, that added together give a square (4384836 = 20942).

The spelling of 23849001999936 in words is "twenty-three trillion, eight hundred forty-nine billion, one million, nine hundred ninety-nine thousand, nine hundred thirty-six".