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21368361888 = 25321718124113
BaseRepresentation
bin10011111001101001…
…110101001110100000
32001011012100020212200
4103321221311032200
5322230300040023
613452210053200
71354346036106
oct237151651640
961135306780
1021368361888
119075979615
12418427a200
132027029923
141069d1dc76
15850e61743
hex4f9a753a0

21368361888 has 144 divisors (see below), whose sum is σ = 64698923016. Its totient is φ = 6666485760.

The previous prime is 21368361881. The next prime is 21368361901. The reversal of 21368361888 is 88816386312.

21368361888 is a `hidden beast` number, since 2 + 13 + 6 + 8 + 3 + 618 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16458837264 + 4909524624 = 128292^2 + 70068^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21368361881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 874120 + ... + 898232.

Almost surely, 221368361888 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 21368361888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32349461508).

21368361888 is an abundant number, since it is smaller than the sum of its proper divisors (43330561128).

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

21368361888 is a wasteful number, since it uses less digits than its factorization.

21368361888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24327 (or 24316 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 21368361888 in words is "twenty-one billion, three hundred sixty-eight million, three hundred sixty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 181 204 272 288 306 362 408 543 544 612 724 816 1086 1224 1448 1629 1632 2172 2448 2896 3077 3258 4344 4896 5792 6154 6516 8688 9231 12308 13032 17376 18462 24113 24616 26064 27693 36924 48226 49232 52128 55386 72339 73848 96452 98464 110772 144678 147696 192904 217017 221544 289356 295392 385808 409921 434034 443088 578712 771616 819842 868068 886176 1157424 1229763 1639684 1736136 2314848 2459526 3279368 3472272 3689289 4364453 4919052 6558736 6944544 7378578 8728906 9838104 13093359 13117472 14757156 17457812 19676208 26186718 29514312 34915624 39280077 39352416 52373436 59028624 69831248 74195701 78560154 104746872 118057248 139662496 148391402 157120308 209493744 222587103 296782804 314240616 418987488 445174206 593565608 628481232 667761309 890348412 1187131216 1256962464 1335522618 1780696824 2374262432 2671045236 3561393648 5342090472 7122787296 10684180944 21368361888