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23804553178081 = 132192197532
BaseRepresentation
bin1010110100110011011011…
…11011111010101111100001
310010021200201020110221012201
411122121231323322233201
511110003211103144311
6122343354420253201
75004552006323464
oct532315573725741
9103250636427181
1023804553178081
1176484aa75a5a5
122805594841201
1310389b5195900
145c420a0a92db
152b43274b19c1
hex15a66defabe1

23804553178081 has 27 divisors (see below), whose sum is σ = 27205967798649. Its totient is φ = 20815883330112.

The previous prime is 23804553178067. The next prime is 23804553178117. The reversal of 23804553178081 is 18087135540832.

It is a happy number.

The square root of 23804553178081 is 4878991.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7929906688081 + 15874646490000 = 2816009^2 + 3984300^2 .

It is not a de Polignac number, because 23804553178081 - 29 = 23804553177569 is a prime.

It is a super-2 number, since 2×238045531780812 (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 (23804553178381) 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, 1205100901 + ... + 1205120653.

It is an arithmetic number, because the mean of its divisors is an integer number (1007628436987).

Almost surely, 223804553178081 is an apocalyptic number.

23804553178081 is the 4878991-st square number.

23804553178081 is the 2439496-th centered octagonal number.

It is an amenable number.

23804553178081 is a deficient number, since it is larger than the sum of its proper divisors (3401414620568).

23804553178081 is an frugal number, since it uses more digits than its factorization.

23804553178081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39570 (or 19785 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 55.

The spelling of 23804553178081 in words is "twenty-three trillion, eight hundred four billion, five hundred fifty-three million, one hundred seventy-eight thousand, eighty-one".

Divisors: 1 13 19 169 247 361 3211 4693 19753 61009 256789 375307 3338257 4878991 7130833 63426883 92700829 390181009 1205110777 5072353117 7413439171 65940590521 96374709223 140855344249 1252871219899 1831119475237 23804553178081