Search a number
-
+
21071029434 = 23713371736029
BaseRepresentation
bin10011100111111011…
…100110010010111010
32000101110212012102120
4103213323212102322
5321123140420214
613402505142110
71344105536460
oct234773462272
960343765376
1021071029434
118a33057314
12410078a936
131caa554070
14103c642830
15834cccea9
hex4e7ee64ba

21071029434 has 128 divisors (see below), whose sum is σ = 53585763840. Its totient is φ = 5374854144.

The previous prime is 21071029433. The next prime is 21071029439. The reversal of 21071029434 is 43492017012.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21071029395 and 21071029404.

It is not an unprimeable number, because it can be changed into a prime (21071029433) 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, 3491932 + ... + 3497960.

It is an arithmetic number, because the mean of its divisors is an integer number (418638780).

Almost surely, 221071029434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21071029434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26792881920).

21071029434 is an abundant number, since it is smaller than the sum of its proper divisors (32514734406).

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

21071029434 is a wasteful number, since it uses less digits than its factorization.

21071029434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6264.

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 21071029434 in words is "twenty-one billion, seventy-one million, twenty-nine thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 173 182 222 259 273 346 481 518 519 546 777 962 1038 1211 1443 1554 2249 2422 2886 3367 3633 4498 6029 6401 6734 6747 7266 10101 12058 12802 13494 15743 18087 19203 20202 31486 36174 38406 42203 44807 47229 78377 83213 84406 89614 94458 126609 134421 156754 166426 223073 235131 249639 253218 268842 446146 470262 499278 548639 582491 669219 1043017 1097278 1164982 1338438 1561511 1645917 1747473 2086034 2899949 3123022 3129051 3291834 3494946 4684533 5799898 6258102 7301119 8699847 9369066 13559221 14602238 17399694 20299643 21903357 27118442 38591629 40599286 40677663 43806714 60898929 77183258 81355326 94914547 115774887 121797858 189829094 231549774 270141403 284743641 501691177 540282806 569487282 810424209 1003382354 1505073531 1620848418 3010147062 3511838239 7023676478 10535514717 21071029434