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6145198236 = 22322364711471
BaseRepresentation
bin1011011100100100…
…00100100010011100
3120212021021102012200
411232102010202130
5100041132320421
62453440531500
7305166215562
oct55622044234
916767242180
106145198236
112673893431
121236020b90
1376c1a6198
14424207a32
1525e769726
hex16e48489c

6145198236 has 72 divisors (see below), whose sum is σ = 16235541504. Its totient is φ = 1956139680.

The previous prime is 6145198211. The next prime is 6145198237. The reversal of 6145198236 is 6328915416.

6145198236 is a `hidden beast` number, since 614 + 5 + 1 + 9 + 8 + 23 + 6 = 666.

It is a super-2 number, since 2×61451982362 = 75526922719475023392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6145198191 and 6145198200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6145198237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529981 + ... + 541451.

It is an arithmetic number, because the mean of its divisors is an integer number (225493632).

Almost surely, 26145198236 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 6145198236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8117770752).

6145198236 is an abundant number, since it is smaller than the sum of its proper divisors (10090343268).

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

6145198236 is a wasteful number, since it uses less digits than its factorization.

6145198236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12151 (or 12146 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 6145198236 is about 78391.3147995363. The cubic root of 6145198236 is about 1831.6618461285.

The spelling of 6145198236 in words is "six billion, one hundred forty-five million, one hundred ninety-eight thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 647 828 1294 1941 2588 3882 5823 7764 11471 11646 14881 22942 23292 29762 34413 44643 45884 59524 68826 89286 103239 133929 137652 178572 206478 263833 267858 412956 527666 535716 791499 1055332 1582998 2374497 3165996 4748994 7421737 9497988 14843474 22265211 29686948 44530422 66795633 89060844 133591266 170699951 267182532 341399902 512099853 682799804 1024199706 1536299559 2048399412 3072599118 6145198236