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26401376703529 = 19237273092
BaseRepresentation
bin1100000000011000011001…
…01011100001010000101001
310110110221120100002012202101
412000030030223201100221
511430030004414003104
6132052343000533401
75363302504151032
oct600141453412051
9113427510065671
1026401376703529
1184598409595a3
122b6491b781261
131196840264929
14673b94db9a89
1530bb615095a4
hex18030cae1429

26401376703529 has 27 divisors (see below), whose sum is σ = 28641411704997. Its totient is φ = 24332505569568.

The previous prime is 26401376703503. The next prime is 26401376703553. The reversal of 26401376703529 is 92530767310462.

It is a happy number.

The square root of 26401376703529 is 5138227.

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 3945606186025 + 22455770517504 = 1986355^2 + 4738752^2 .

It is a de Polignac number, because none of the positive numbers 2k-26401376703529 is a prime.

It is a super-2 number, since 2×264013767035292 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26401376703529.

It is not an unprimeable number, because it can be changed into a prime (26401376703599) 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, 3612169927 + ... + 3612177235.

It is an arithmetic number, because the mean of its divisors is an integer number (1060793026111).

Almost surely, 226401376703529 is an apocalyptic number.

26401376703529 is the 5138227-th square number.

26401376703529 is the 2569114-th centered octagonal number.

It is an amenable number.

26401376703529 is a deficient number, since it is larger than the sum of its proper divisors (2240035001468).

26401376703529 is an frugal number, since it uses more digits than its factorization.

26401376703529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14730 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 55.

The spelling of 26401376703529 in words is "twenty-six trillion, four hundred one billion, three hundred seventy-six million, seven hundred three thousand, five hundred twenty-nine".

Divisors: 1 19 37 361 703 1369 7309 13357 26011 138871 270433 494209 2638549 5138227 10006021 53421481 97626313 190114399 1015008139 1976594797 3612173581 19285154641 37555301143 73134007489 713550721717 1389546142291 26401376703529