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2114251968 = 26313184059
BaseRepresentation
bin111111000000100…
…1110110011000000
312110100100010110110
41332001032303000
513312222030333
6545443431320
7103251562623
oct17601166300
95410303413
102114251968
11995492884
124b0085540
1327903ab8a
14160b19dba
15c5930063
hex7e04ecc0

2114251968 has 56 divisors (see below), whose sum is σ = 5636727360. Its totient is φ = 699362560.

The previous prime is 2114251943. The next prime is 2114252017. The reversal of 2114251968 is 8691524112.

It is a super-3 number, since 3×21142519683 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16878 + ... + 67181.

Almost surely, 22114251968 is an apocalyptic number.

It is an amenable number.

2114251968 is an abundant number, since it is smaller than the sum of its proper divisors (3522475392).

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

2114251968 is a wasteful number, since it uses less digits than its factorization.

2114251968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84205 (or 84195 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 2114251968 is about 45980.9957264955. The cubic root of 2114251968 is about 1283.4695841995.

The spelling of 2114251968 in words is "two billion, one hundred fourteen million, two hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 1048 1572 2096 3144 4192 6288 8384 12576 25152 84059 168118 252177 336236 504354 672472 1008708 1344944 2017416 2689888 4034832 5379776 8069664 11011729 16139328 22023458 33035187 44046916 66070374 88093832 132140748 176187664 264281496 352375328 528562992 704750656 1057125984 2114251968