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11616868146 = 23131374012711
BaseRepresentation
bin10101101000110101…
…10101011100110010
31002222121012001020210
422310122311130302
5142242404240041
65200421444550
7560606515152
oct126432653462
932877161223
1011616868146
114a21467a84
122302570756
13113197aca0
147c2ba8762
1547ece0016
hex2b46b5732

11616868146 has 64 divisors (see below), whose sum is σ = 25275753216. Its totient is φ = 3538176000.

The previous prime is 11616868103. The next prime is 11616868157. The reversal of 11616868146 is 64186861611.

It is a junction number, because it is equal to n+sod(n) for n = 11616868095 and 11616868104.

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, 4283731 + ... + 4286441.

It is an arithmetic number, because the mean of its divisors is an integer number (394933644).

Almost surely, 211616868146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11616868146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12637876608).

11616868146 is an abundant number, since it is smaller than the sum of its proper divisors (13658885070).

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

11616868146 is a wasteful number, since it uses less digits than its factorization.

11616868146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267.

The product of its digits is 331776, while the sum is 48.

The spelling of 11616868146 in words is "eleven billion, six hundred sixteen million, eight hundred sixty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 137 274 401 411 802 822 1203 1781 2406 2711 3562 5213 5343 5422 8133 10426 10686 15639 16266 31278 35243 54937 70486 105729 109874 164811 211458 329622 371407 714181 742814 1087111 1114221 1428362 2142543 2174222 2228442 3261333 4285086 4828291 6522666 9656582 14132443 14484873 28264886 28969746 42397329 84794658 148934207 297868414 446802621 893605242 1936144691 3872289382 5808434073 11616868146