Search a number
-
+
6468778316 = 2273111332971
BaseRepresentation
bin1100000011001000…
…11011100101001100
3121200211010222122002
412001210123211030
5101222001401231
62545520211432
7316205465000
oct60144334514
917624128562
106468778316
11281a502990
121306469b78
137c123baa0
14455198700
1527cd850cb
hex18191b94c

6468778316 has 96 divisors (see below), whose sum is σ = 15510028800. Its totient is φ = 2326363200.

The previous prime is 6468778291. The next prime is 6468778331. The reversal of 6468778316 is 6138778646.

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, 179711 + ... + 212681.

It is an arithmetic number, because the mean of its divisors is an integer number (161562800).

Almost surely, 26468778316 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 6468778316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755014400).

6468778316 is an abundant number, since it is smaller than the sum of its proper divisors (9041250484).

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

6468778316 is a wasteful number, since it uses less digits than its factorization.

6468778316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33020 (or 33004 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 56.

The square root of 6468778316 is about 80428.7157425754. The cubic root of 6468778316 is about 1863.2626971416.

The spelling of 6468778316 in words is "six billion, four hundred sixty-eight million, seven hundred seventy-eight thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 343 364 539 572 637 686 1001 1078 1274 1372 2002 2156 2548 3773 4004 4459 7007 7546 8918 14014 15092 17836 28028 32971 49049 65942 98098 131884 196196 230797 362681 428623 461594 725362 857246 923188 1450724 1615579 1714492 2538767 3000361 3231158 4714853 5077534 6000722 6462316 9429706 10155068 11309053 12001444 17771369 18859412 21002527 22618106 33003971 35542738 42005054 45236212 66007942 71085476 84010108 124399583 132015884 147017689 231027797 248799166 294035378 462055594 497598332 588070756 924111188 1617194579 3234389158 6468778316