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12016149264 = 2432721702969
BaseRepresentation
bin10110011000011011…
…11110001100010000
31011000102111121222100
423030031332030100
5144102113234024
65304203440400
7603525404100
oct131415761420
934012447870
1012016149264
115106891879
1223b4226100
1311965ca2c2
1481dc23200
154a4db07c9
hex2cc37e310

12016149264 has 90 divisors (see below), whose sum is σ = 39118923870. Its totient is φ = 3433183488.

The previous prime is 12016149259. The next prime is 12016149307. The reversal of 12016149264 is 46294161021.

12016149264 is a `hidden beast` number, since 1 + 2 + 0 + 161 + 492 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9576579600 + 2439569664 = 97860^2 + 49392^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 844429 + ... + 858540.

Almost surely, 212016149264 is an apocalyptic number.

12016149264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12016149264 is an abundant number, since it is smaller than the sum of its proper divisors (27102774606).

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

12016149264 is a wasteful number, since it uses less digits than its factorization.

12016149264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702997 (or 1702981 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12016149264 in words is "twelve billion, sixteen million, one hundred forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 1702969 3405938 5108907 6811876 10217814 11920783 13623752 15326721 20435628 23841566 27247504 30653442 35762349 40871256 47683132 61306884 71524698 81742512 83445481 95366264 107287047 122613768 143049396 166890962 190732528 214574094 245227536 250336443 286098792 333781924 429148188 500672886 572197584 667563848 751009329 858296376 1001345772 1335127696 1502018658 1716592752 2002691544 3004037316 4005383088 6008074632 12016149264