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2094571296 = 253231283829
BaseRepresentation
bin111110011011000…
…1001111100100000
312101222022020122200
41330312021330200
513242202240141
6543501533200
7102622363566
oct17466117440
95358266580
102094571296
11985370464
124a5574200
13274c39bcc
1415c275a36
15c3d43ab6
hex7cd89f20

2094571296 has 144 divisors (see below), whose sum is σ = 6177749760. Its totient is φ = 672468480.

The previous prime is 2094571231. The next prime is 2094571351. The reversal of 2094571296 is 6921754902.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2526210 + ... + 2527038.

It is an arithmetic number, because the mean of its divisors is an integer number (42901040).

Almost surely, 22094571296 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 2094571296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088874880).

2094571296 is an abundant number, since it is smaller than the sum of its proper divisors (4083178464).

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

2094571296 is a wasteful number, since it uses less digits than its factorization.

2094571296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2094571296 is about 45766.4866031903. The cubic root of 2094571296 is about 1279.4747389103.

The spelling of 2094571296 in words is "two billion, ninety-four million, five hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 283 288 372 496 558 566 744 829 849 992 1116 1132 1488 1658 1698 2232 2264 2487 2547 2976 3316 3396 4464 4528 4974 5094 6632 6792 7461 8773 8928 9056 9948 10188 13264 13584 14922 17546 19896 20376 25699 26319 26528 27168 29844 35092 39792 40752 51398 52638 59688 70184 77097 78957 79584 81504 102796 105276 119376 140368 154194 157914 205592 210552 231291 234607 238752 280736 308388 315828 411184 421104 462582 469214 616776 631656 703821 822368 842208 925164 938428 1233552 1263312 1407642 1850328 1876856 2111463 2467104 2526624 2815284 3700656 3753712 4222926 5630568 7272817 7401312 7507424 8445852 11261136 14545634 16891704 21818451 22522272 29091268 33783408 43636902 58182536 65455353 67566816 87273804 116365072 130910706 174547608 232730144 261821412 349095216 523642824 698190432 1047285648 2094571296