Search a number
-
+
23138060544 = 283231692
BaseRepresentation
bin10101100011001000…
…101100100100000000
32012201112100021001100
4111203020230210000
5334341320414134
614343544534400
71446245161314
oct254310544400
965645307040
1023138060544
1198a3917395
124598a81400
13224986a7b1
141196d89b44
159064d1999
hex56322c900

23138060544 has 81 divisors (see below), whose sum is σ = 66733791033. Its totient is φ = 7710253056.

The previous prime is 23138060527. The next prime is 23138060549. The reversal of 23138060544 is 44506083132.

The square root of 23138060544 is 152112.

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

23138060544 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 8 + 0 + 605 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19123570944 + 4014489600 = 138288^2 + 63360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23138060499 and 23138060508.

It is not an unprimeable number, because it can be changed into a prime (23138060549) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7299792 + ... + 7302960.

Almost surely, 223138060544 is an apocalyptic number.

23138060544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23138060544 is the 152112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23138060544

23138060544 is an abundant number, since it is smaller than the sum of its proper divisors (43595730489).

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

23138060544 is an frugal number, since it uses more digits than its factorization.

23138060544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6360 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 23138060544 by its sum of digits (36), we get a square (832970179584 = 9126722).

23138060544 divided by its sum of digits (36) gives a square (642723904 = 253522).

The spelling of 23138060544 in words is "twenty-three billion, one hundred thirty-eight million, sixty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3169 6338 9507 12676 19014 25352 28521 38028 50704 57042 76056 101408 114084 152112 202816 228168 304224 405632 456336 608448 811264 912672 1216896 1825344 2433792 3650688 7301376 10042561 20085122 30127683 40170244 60255366 80340488 90383049 120510732 160680976 180766098 241021464 321361952 361532196 482042928 642723904 723064392 964085856 1285447808 1446128784 1928171712 2570895616 2892257568 3856343424 5784515136 7712686848 11569030272 23138060544