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23641830081 = 3210724792
BaseRepresentation
bin10110000001001010…
…011011001011000001
32021000122021101221100
4112001022123023001
5341404302030311
614505542245013
71464603145212
oct260112331301
967018241840
1023641830081
11a032218951
1246b9726769
1322ca04258c
141203c43409
15935841a56
hex58129b2c1

23641830081 has 27 divisors (see below), whose sum is σ = 34543560961. Its totient is φ = 15581322024.

The previous prime is 23641830073. The next prime is 23641830103. The reversal of 23641830081 is 18003814632.

The square root of 23641830081 is 153759.

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

23641830081 is a `hidden beast` number, since 2 + 3 + 641 + 8 + 3 + 0 + 0 + 8 + 1 = 666.

It is not a de Polignac number, because 23641830081 - 23 = 23641830073 is a prime.

It is a super-2 number, since 2×236418300812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23641830071) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49356400 + ... + 49356878.

Almost surely, 223641830081 is an apocalyptic number.

23641830081 is the 153759-th square number.

23641830081 is the 76880-th centered octagonal number.

It is an amenable number.

23641830081 is a deficient number, since it is larger than the sum of its proper divisors (10901730880).

23641830081 is an frugal number, since it uses more digits than its factorization.

23641830081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 23641830081 by its sum of digits (36), we get a square (851105882916 = 9225542).

The spelling of 23641830081 in words is "twenty-three billion, six hundred forty-one million, eight hundred thirty thousand, eighty-one".

Divisors: 1 3 9 107 321 479 963 1437 4311 11449 34347 51253 103041 153759 229441 461277 688323 2064969 5484071 16452213 24550187 49356639 73650561 220951683 2626870009 7880610027 23641830081