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10111533468 = 2231925234463
BaseRepresentation
bin10010110101011000…
…11100000110011100
3222002200122010021120
421122230130012130
5131202023032333
64351205130540
7505400421261
oct113254340634
928080563246
1010111533468
114319773833
121b623b9a50
13c51b3b7ca
146bccb7268
153e2a8edb3
hex25ab1c19c

10111533468 has 72 divisors (see below), whose sum is σ = 24953902848. Its totient is φ = 3186296352.

The previous prime is 10111533451. The next prime is 10111533473. The reversal of 10111533468 is 86433511101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2263405 + ... + 2267867.

It is an arithmetic number, because the mean of its divisors is an integer number (346581984).

Almost surely, 210111533468 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 10111533468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476951424).

10111533468 is an abundant number, since it is smaller than the sum of its proper divisors (14842369380).

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

10111533468 is a wasteful number, since it uses less digits than its factorization.

10111533468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 10111533468 in words is "ten billion, one hundred eleven million, five hundred thirty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 523 722 1046 1083 1444 1569 2092 2166 3138 4332 4463 6276 8926 9937 13389 17852 19874 26778 29811 39748 53556 59622 84797 119244 169594 188803 254391 339188 377606 508782 566409 755212 1017564 1132818 1611143 2265636 2334149 3222286 4668298 4833429 6444572 7002447 9336596 9666858 14004894 19333716 28009788 44348831 88697662 133046493 177395324 266092986 532185972 842627789 1685255578 2527883367 3370511156 5055766734 10111533468