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2921988096 = 217322477
BaseRepresentation
bin1010111000101010…
…0000000000000000
321112122020101010100
42232022200000000
521441012104341
61201540202400
7132260326506
oct25612400000
97478211110
102921988096
11126a4279a5
12696699400
1337749c051
141da0da676
151217d43b6
hexae2a0000

2921988096 has 108 divisors (see below), whose sum is σ = 8444674602. Its totient is φ = 973602816.

The previous prime is 2921988059. The next prime is 2921988127. The reversal of 2921988096 is 6908891292.

2921988096 is a `hidden beast` number, since 292 + 198 + 80 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2492006400 + 429981696 = 49920^2 + 20736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1178410 + ... + 1180886.

Almost surely, 22921988096 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 2921988096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222337301).

2921988096 is an abundant number, since it is smaller than the sum of its proper divisors (5522686506).

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

2921988096 is an frugal number, since it uses more digits than its factorization.

2921988096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 2921988096 is about 54055.4168978466. The cubic root of 2921988096 is about 1429.6382112450.

The spelling of 2921988096 in words is "two billion, nine hundred twenty-one million, nine hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2477 3072 4096 4608 4954 6144 7431 8192 9216 9908 12288 14862 16384 18432 19816 22293 24576 29724 32768 36864 39632 44586 49152 59448 65536 73728 79264 89172 98304 118896 131072 147456 158528 178344 196608 237792 294912 317056 356688 393216 475584 589824 634112 713376 951168 1179648 1268224 1426752 1902336 2536448 2853504 3804672 5072896 5707008 7609344 10145792 11414016 15218688 20291584 22828032 30437376 40583168 45656064 60874752 81166336 91312128 121749504 162332672 182624256 243499008 324665344 365248512 486998016 730497024 973996032 1460994048 2921988096