Search a number
-
+
21360655404 = 223211234354541
BaseRepresentation
bin10011111001001100…
…011011110000101100
32001010122211201120100
4103321030123300230
5322221311433104
613451332551100
71354223401164
oct237114336054
961118751510
1021360655404
119071595620
124181782490
13202555bc8a
141068cb55a4
1585043d139
hex4f931bc2c

21360655404 has 144 divisors (see below), whose sum is σ = 62895216384. Its totient is φ = 6047395200.

The previous prime is 21360655387. The next prime is 21360655409. The reversal of 21360655404 is 40455606312.

21360655404 is a `hidden beast` number, since 2 + 1 + 3 + 606 + 5 + 5 + 40 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21360655409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364374 + ... + 418914.

It is an arithmetic number, because the mean of its divisors is an integer number (436772336).

Almost surely, 221360655404 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 21360655404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31447608192).

21360655404 is an abundant number, since it is smaller than the sum of its proper divisors (41534560980).

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

21360655404 is a wasteful number, since it uses less digits than its factorization.

21360655404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54628 (or 54623 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 21360655404 in words is "twenty-one billion, three hundred sixty million, six hundred fifty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 43 44 46 66 69 86 92 99 129 132 138 172 198 207 253 258 276 387 396 414 473 506 516 759 774 828 946 989 1012 1419 1518 1548 1892 1978 2277 2838 2967 3036 3956 4257 4554 5676 5934 8514 8901 9108 10879 11868 17028 17802 21758 32637 35604 43516 54541 65274 97911 109082 130548 163623 195822 218164 327246 391644 490869 599951 654492 981738 1199902 1254443 1799853 1963476 2345263 2399804 2508886 3599706 3763329 4690526 5017772 5399559 7035789 7199412 7526658 9381052 10799118 11289987 13798873 14071578 15053316 21107367 21598236 22579974 25797893 27597746 28143156 41396619 42214734 45159948 51595786 53941049 55195492 77393679 82793238 84429468 103191572 107882098 124189857 154787358 161823147 165586476 215764196 232181037 248379714 309574716 323646294 464362074 485469441 496759428 593351539 647292588 928724148 970938882 1186703078 1780054617 1941877764 2373406156 3560109234 5340163851 7120218468 10680327702 21360655404