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26160050004 = 223111031979767
BaseRepresentation
bin11000010111010000…
…101010111101010100
32111112010202020020220
4120113100222331110
5412033433100004
620003500354340
71614161520234
oct302720527524
974463666226
1026160050004
1110104736840
1250a0b459b0
13260b980b3a
1413a2477cc4
15a3196add9
hex61742af54

26160050004 has 96 divisors (see below), whose sum is σ = 67583932416. Its totient is φ = 7809674880.

The previous prime is 26160049999. The next prime is 26160050009. The reversal of 26160050004 is 40005006162.

It is an interprime number because it is at equal distance from previous prime (26160049999) and next prime (26160050009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26160050009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2673529 + ... + 2683295.

It is an arithmetic number, because the mean of its divisors is an integer number (703999296).

Almost surely, 226160050004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26160050004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33791966208).

26160050004 is an abundant number, since it is smaller than the sum of its proper divisors (41423882412).

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

26160050004 is a wasteful number, since it uses less digits than its factorization.

26160050004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10085 (or 10083 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 26160050004 its reverse (40005006162), we get a palindrome (66165056166).

The spelling of 26160050004 in words is "twenty-six billion, one hundred sixty million, fifty thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 197 206 309 394 412 591 618 788 1133 1182 1236 2167 2266 2364 3399 4334 4532 6501 6798 8668 9767 13002 13596 19534 20291 26004 29301 39068 40582 58602 60873 81164 107437 117204 121746 214874 223201 243492 322311 429748 446402 644622 669603 892804 1006001 1289244 1339206 1924099 2012002 2678412 3018003 3848198 4024004 5772297 6036006 7696396 11066011 11544594 12072012 21165089 22132022 23089188 33198033 42330178 44264044 63495267 66396066 84660356 126990534 132792132 198182197 253981068 396364394 594546591 792728788 1189093182 2180004167 2378186364 4360008334 6540012501 8720016668 13080025002 26160050004