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22129040052 = 22337285110267
BaseRepresentation
bin10100100110111111…
…100101101010110100
32010010012200201011000
4110212333211222310
5330310013240202
614055502043300
71412243510520
oct244677455264
963105621130
1022129040052
1194262a2359
124356b79530
1321187c2852
1410dcd70d80
15897b1c91c
hex526fe5ab4

22129040052 has 96 divisors (see below), whose sum is σ = 65596912640. Its totient is φ = 6319749600.

The previous prime is 22129040041. The next prime is 22129040111. The reversal of 22129040052 is 25004092122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22129039998 and 22129040025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2150223 + ... + 2160489.

Almost surely, 222129040052 is an apocalyptic number.

It is an amenable number.

22129040052 is an abundant number, since it is smaller than the sum of its proper divisors (43467872588).

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

22129040052 is a wasteful number, since it uses less digits than its factorization.

22129040052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13138 (or 13130 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 22129040052 in words is "twenty-two billion, one hundred twenty-nine million, forty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 2851 5702 8553 10267 11404 17106 19957 20534 25659 30801 34212 39914 41068 51318 59871 61602 71869 76977 79828 92403 102636 119742 123204 143738 153954 179613 184806 215607 239484 277209 287476 307908 359226 369612 431214 538839 554418 646821 718452 862428 1077678 1108836 1293642 1940463 2155356 2587284 3880926 7761852 29271217 58542434 87813651 117084868 175627302 204898519 263440953 351254604 409797038 526881906 614695557 790322859 819594076 1053763812 1229391114 1580645718 1844086671 2458782228 3161291436 3688173342 5532260013 7376346684 11064520026 22129040052