Search a number
-
+
56123501292 = 22342924412447
BaseRepresentation
bin110100010001001110…
…001010101011101100
312100212100021021020000
4310101032022223230
51404420104020132
641441025224300
74024535614125
oct642116125354
9170770237200
1056123501292
1121890287221
12aa63792090
1353a55ba281
142a05acb04c
1516d727587c
hexd1138aaec

56123501292 has 120 divisors (see below), whose sum is σ = 151901386560. Its totient is φ = 18047957760.

The previous prime is 56123501281. The next prime is 56123501347. The reversal of 56123501292 is 29210532165.

It is a happy number.

56123501292 is a `hidden beast` number, since 5 + 6 + 12 + 350 + 1 + 292 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22934413 + ... + 22936859.

It is an arithmetic number, because the mean of its divisors is an integer number (1265844888).

Almost surely, 256123501292 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 56123501292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75950693280).

56123501292 is an abundant number, since it is smaller than the sum of its proper divisors (95777885268).

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

56123501292 is a wasteful number, since it uses less digits than its factorization.

56123501292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933 (or 4922 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 56123501292 in words is "fifty-six billion, one hundred twenty-three million, five hundred one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 2441 2447 3132 4698 4882 4894 7323 7341 9396 9764 9788 14646 14682 21969 22023 29292 29364 43938 44046 65907 66069 70789 70963 87876 88092 131814 132138 141578 141926 197721 198207 212367 212889 263628 264276 283156 283852 395442 396414 424734 425778 637101 638667 790884 792828 849468 851556 1274202 1277334 1911303 1916001 2548404 2554668 3822606 3832002 5733909 5748003 5973127 7645212 7664004 11467818 11496006 11946254 17919381 22935636 22992012 23892508 35838762 53758143 71677524 107516286 161274429 173220683 215032572 322548858 346441366 483823287 519662049 645097716 692882732 967646574 1039324098 1558986147 1935293148 2078648196 3117972294 4676958441 6235944588 9353916882 14030875323 18707833764 28061750646 56123501292