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130922270837824 = 2647795031095319
BaseRepresentation
bin11101110001001010110111…
…011100100100110001000000
3122011120001021011022011010111
4131301022313130210301000
5114130012302313302244
61142240505542441104
736401551630401364
oct3561126734446100
9564501234264114
10130922270837824
113879690682a114
1212825743733194
135808bc002052b
1424489592a72a4
1510208c6da1e34
hex7712b7724c40

130922270837824 has 112 divisors (see below), whose sum is σ = 269219491430400. Its totient is φ = 63131535806976.

The previous prime is 130922270837789. The next prime is 130922270837833. The reversal of 130922270837824 is 428738072229031.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118981237 + ... + 120076555.

It is an arithmetic number, because the mean of its divisors is an integer number (2403745459200).

Almost surely, 2130922270837824 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 130922270837824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134609745715200).

130922270837824 is an abundant number, since it is smaller than the sum of its proper divisors (138297220592576).

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

130922270837824 is a wasteful number, since it uses less digits than its factorization.

130922270837824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095960 (or 1095950 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 130922270837824 in words is "one hundred thirty trillion, nine hundred twenty-two billion, two hundred seventy million, eight hundred thirty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 64 79 94 158 188 316 376 503 632 752 1006 1264 1504 2012 2528 3008 3713 4024 5056 7426 8048 14852 16096 23641 29704 32192 39737 47282 59408 79474 94564 118816 158948 189128 237632 317896 378256 635792 756512 1095319 1271584 1513024 1867639 2190638 2543168 3735278 4381276 7470556 8762552 14941112 17525104 29882224 35050208 51479993 59764448 70100416 86530201 102959986 119528896 173060402 205919972 346120804 411839944 550945457 692241608 823679888 1101890914 1384483216 1647359776 2203781828 2768966432 3294719552 4066919447 4407563656 5537932864 8133838894 8815127312 16267677788 17630254624 25894436479 32535355576 35260509248 43524691103 51788872958 65070711152 87049382206 103577745916 130141422304 174098764412 207155491832 260282844608 348197528824 414310983664 696395057648 828621967328 1392790115296 1657243934656 2045660481841 2785580230592 4091320963682 8182641927364 16365283854728 32730567709456 65461135418912 130922270837824