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2121362256 = 2431316720357
BaseRepresentation
bin111111001110001…
…0110101101010000
312110211201100221110
41332130112231100
513321032043011
6550300053320
7103366165416
oct17634265520
95424640843
102121362256
119994a9952
124b2534240
1327a65a350
14161a4b2b6
15c6386ba6
hex7e716b50

2121362256 has 80 divisors (see below), whose sum is σ = 5937369984. Its totient is φ = 648786432.

The previous prime is 2121362239. The next prime is 2121362297. The reversal of 2121362256 is 6522631212.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 94030 + ... + 114386.

Almost surely, 22121362256 is an apocalyptic number.

2121362256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121362256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968684992).

2121362256 is an abundant number, since it is smaller than the sum of its proper divisors (3816007728).

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

2121362256 is a wasteful number, since it uses less digits than its factorization.

2121362256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20548 (or 20542 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 2121362256 is about 46058.2485120744. The cubic root of 2121362256 is about 1284.9067555872.

Adding to 2121362256 its reverse (6522631212), we get a palindrome (8643993468).

The spelling of 2121362256 in words is "two billion, one hundred twenty-one million, three hundred sixty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 167 208 312 334 501 624 668 1002 1336 2004 2171 2672 4008 4342 6513 8016 8684 13026 17368 20357 26052 34736 40714 52104 61071 81428 104208 122142 162856 244284 264641 325712 488568 529282 793923 977136 1058564 1587846 2117128 3175692 3399619 4234256 6351384 6799238 10198857 12702768 13598476 20397714 27196952 40795428 44195047 54393904 81590856 88390094 132585141 163181712 176780188 265170282 353560376 530340564 707120752 1060681128 2121362256