Search a number
-
+
26842710672 = 2432971921729
BaseRepresentation
bin11000111111111100…
…110100001010010000
32120021201021222122100
4120333330310022100
5414433213220142
620155324240400
71640121163461
oct307774641220
976251258570
1026842710672
1110425012908
1252516a0100
1326ba22bb6b
141428dbad68
15a71865b4c
hex63ff34290

26842710672 has 60 divisors (see below), whose sum is σ = 75896804620. Its totient is φ = 8855322624.

The previous prime is 26842710593. The next prime is 26842710673. The reversal of 26842710672 is 27601724862.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19891153296 + 6951557376 = 141036^2 + 83376^2 .

It is a super-2 number, since 2×268427106722 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26842710673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 946897 + ... + 974832.

Almost surely, 226842710672 is an apocalyptic number.

It is an amenable number.

26842710672 is an abundant number, since it is smaller than the sum of its proper divisors (49054093948).

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

26842710672 is a wasteful number, since it uses less digits than its factorization.

26842710672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921840 (or 1921831 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 26842710672 in words is "twenty-six billion, eight hundred forty-two million, seven hundred ten thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 1921729 3843458 5765187 7686916 11530374 15373832 17295561 23060748 30747664 34591122 46121496 69182244 92242992 138364488 186407713 276728976 372815426 559223139 745630852 1118446278 1491261704 1677669417 2236892556 2982523408 3355338834 4473785112 6710677668 8947570224 13421355336 26842710672