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21149639730 = 2335592774793
BaseRepresentation
bin10011101100100111…
…011110010000110010
32000120221210000111000
4103230213132100302
5321303301432410
613414354102430
71346051654142
oct235447362062
960527700430
1021149639730
118a734693aa
124122b7aa16
131cc0918a2b
141048c66922
1583bb59dc0
hex4ec9de432

21149639730 has 128 divisors (see below), whose sum is σ = 57574022400. Its totient is φ = 5523144192.

The previous prime is 21149639723. The next prime is 21149639737. The reversal of 21149639730 is 3793694112.

21149639730 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 9 + 639 + 7 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21149639723) and next prime (21149639737).

It is a super-3 number, since 3×211496397303 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21149639737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4410214 + ... + 4415006.

It is an arithmetic number, because the mean of its divisors is an integer number (449797050).

Almost surely, 221149639730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21149639730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28787011200).

21149639730 is an abundant number, since it is smaller than the sum of its proper divisors (36424382670).

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

21149639730 is a wasteful number, since it uses less digits than its factorization.

21149639730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 21149639730 in words is "twenty-one billion, one hundred forty-nine million, six hundred thirty-nine thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 277 295 354 531 554 590 831 885 1062 1385 1593 1662 1770 2493 2655 2770 3186 4155 4793 4986 5310 7479 7965 8310 9586 12465 14379 14958 15930 16343 23965 24930 28758 32686 37395 43137 47930 49029 71895 74790 81715 86274 98058 129411 143790 147087 163430 215685 245145 258822 282787 294174 431370 441261 490290 565574 647055 735435 848361 882522 1294110 1327661 1413935 1470870 1696722 2206305 2545083 2655322 2827870 3982983 4241805 4412610 5090166 6638305 7635249 7965966 8483610 11948949 12725415 13276610 15270498 19914915 23897898 25450830 35846847 38176245 39829830 59744745 71693694 76352490 78331999 119489490 156663998 179234235 234995997 358468470 391659995 469991994 704987991 783319990 1174979985 1409975982 2114963973 2349959970 3524939955 4229927946 7049879910 10574819865 21149639730