Search a number
-
+
23271201969840 = 243251117263657187
BaseRepresentation
bin1010100101010001111111…
…01110100001011010110000
310001101201001002002022010100
411102220333232201122300
511022233410201013330
6121254350445032400
74621201036003626
oct522507756413260
9101351032068110
1023271201969840
117462296918790
12273a146555700
13cca6075b13b6
145a6491731516
152a550d939060
hex152a3fba16b0

23271201969840 has 480 divisors, whose sum is σ = 90615731222016. Its totient is φ = 5289453527040.

The previous prime is 23271201969811. The next prime is 23271201969887. The reversal of 23271201969840 is 4896910217232.

23271201969840 is a `hidden beast` number, since 2 + 3 + 271 + 201 + 96 + 9 + 84 + 0 = 666.

It is a super-2 number, since 2×232712019698402 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35081727 + ... + 35738913.

Almost surely, 223271201969840 is an apocalyptic number.

23271201969840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23271201969840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45307865611008).

23271201969840 is an abundant number, since it is smaller than the sum of its proper divisors (67344529252176).

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

23271201969840 is a wasteful number, since it uses less digits than its factorization.

23271201969840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657497 (or 657488 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 23271201969840 in words is "twenty-three trillion, two hundred seventy-one billion, two hundred one million, nine hundred sixty-nine thousand, eight hundred forty".