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21241361754 = 234418935933
BaseRepresentation
bin10011110010000101…
…010111010101011010
32000211100100222110000
4103302011113111122
5322000242034004
613431432033430
71351244411244
oct236205272532
960740328400
1021241361754
119010216528
124149832876
132006921712
141057101094
15844c26c39
hex4f215755a

21241361754 has 80 divisors (see below), whose sum is σ = 49306478760. Its totient is φ = 6829954560.

The previous prime is 21241361747. The next prime is 21241361797. The reversal of 21241361754 is 45716314212.

21241361754 is a `hidden beast` number, since 2 + 1 + 24 + 13 + 617 + 5 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11767259529 + 9474102225 = 108477^2 + 97335^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 573172 + ... + 609104.

Almost surely, 221241361754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21241361754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24653239380).

21241361754 is an abundant number, since it is smaller than the sum of its proper divisors (28065117006).

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

21241361754 is a wasteful number, since it uses less digits than its factorization.

21241361754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36077 (or 36068 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

Adding to 21241361754 its reverse (45716314212), we get a palindrome (66957675966).

The spelling of 21241361754 in words is "twenty-one billion, two hundred forty-one million, three hundred sixty-one thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 89 123 162 178 246 267 369 534 738 801 1107 1602 2214 2403 3321 3649 4806 6642 7209 7298 10947 14418 21894 32841 35933 65682 71866 98523 107799 197046 215598 295569 323397 591138 646794 970191 1473253 1940382 2910573 2946506 3198037 4419759 5821146 6396074 8839518 9594111 13259277 19188222 26518554 28782333 39777831 57564666 79555662 86346999 119333493 131119517 172693998 238666986 259040997 262239034 393358551 518081994 786717102 1180075653 2360151306 3540226959 7080453918 10620680877 21241361754