Search a number
-
+
11008816968 = 23323312113049
BaseRepresentation
bin10100100000010110…
…10011011101001000
31001102020000211211210
422100023103131020
5140021224120333
65020221053120
7536544254202
oct122013233510
931366024753
1011008816968
11473a210146
1221729b71a0
1310659c38a6
14766127772
15446731a63
hex2902d3748

11008816968 has 128 divisors (see below), whose sum is σ = 29795328000. Its totient is φ = 3379622400.

The previous prime is 11008816963. The next prime is 11008816969. The reversal of 11008816968 is 86961880011.

It is not an unprimeable number, because it can be changed into a prime (11008816963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3609108 + ... + 3612156.

It is an arithmetic number, because the mean of its divisors is an integer number (232776000).

Almost surely, 211008816968 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 11008816968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897664000).

11008816968 is an abundant number, since it is smaller than the sum of its proper divisors (18786511032).

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

11008816968 is a wasteful number, since it uses less digits than its factorization.

11008816968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The spelling of 11008816968 in words is "eleven billion, eight million, eight hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 211 248 276 372 422 552 633 713 744 844 1266 1426 1688 2139 2532 2852 3049 4278 4853 5064 5704 6098 6541 8556 9147 9706 12196 13082 14559 17112 18294 19412 19623 24392 26164 29118 36588 38824 39246 52328 58236 70127 73176 78492 94519 116472 140254 150443 156984 189038 210381 280508 283557 300886 378076 420762 451329 561016 567114 601772 643339 756152 841524 902658 1134228 1203544 1286678 1683048 1805316 1930017 2173937 2268456 2573356 3610632 3860034 4347874 5146712 6521811 7720068 8695748 13043622 14796797 15440136 17391496 19943509 26087244 29593594 39887018 44390391 52174488 59187188 59830527 79774036 88780782 118374376 119661054 159548072 177561564 239322108 355123128 458700707 478644216 917401414 1376102121 1834802828 2752204242 3669605656 5504408484 11008816968