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11161265616 = 2433186113883
BaseRepresentation
bin10100110010100001…
…10110010111010000
31001210211220001002000
422121100312113100
5140324240444431
65043304354000
7543405122664
oct123120662720
931724801060
1011161265616
114808275066
1221b5a75900
13108b46c1a7
1477c48c8a4
15454ce69e6
hex2994365d0

11161265616 has 80 divisors (see below), whose sum is σ = 32056489920. Its totient is φ = 3718154880.

The previous prime is 11161265611. The next prime is 11161265623. The reversal of 11161265616 is 61656216111.

11161265616 is a `hidden beast` number, since 1 + 1 + 16 + 1 + 26 + 5 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11161265611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797011 + ... + 810893.

It is an arithmetic number, because the mean of its divisors is an integer number (400706124).

Almost surely, 211161265616 is an apocalyptic number.

11161265616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11161265616 is an abundant number, since it is smaller than the sum of its proper divisors (20895224304).

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

11161265616 is a wasteful number, since it uses less digits than its factorization.

11161265616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15761 (or 15749 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The spelling of 11161265616 in words is "eleven billion, one hundred sixty-one million, two hundred sixty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1861 3722 5583 7444 11166 13883 14888 16749 22332 27766 29776 33498 41649 44664 50247 55532 66996 83298 89328 100494 111064 124947 133992 166596 200988 222128 249894 267984 333192 374841 401976 499788 666384 749682 803952 999576 1499364 1999152 2998728 5997456 25836263 51672526 77508789 103345052 155017578 206690104 232526367 310035156 413380208 465052734 620070312 697579101 930105468 1240140624 1395158202 1860210936 2790316404 3720421872 5580632808 11161265616