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2121411504 = 243174163409
BaseRepresentation
bin111111001110010…
…0010101110110000
312110211210212111110
41332130202232300
513321040132004
6550301113320
7103366462122
oct17634425660
95424725443
102121411504
11999532953
124b2558840
1327a6768a4
14161a61212
15c6396589
hex7e722bb0

2121411504 has 80 divisors (see below), whose sum is σ = 5944307040. Its totient is φ = 649297920.

The previous prime is 2121411491. The next prime is 2121411517. The reversal of 2121411504 is 4051141212.

It is an interprime number because it is at equal distance from previous prime (2121411491) and next prime (2121411517).

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, 1752 + ... + 65160.

It is an arithmetic number, because the mean of its divisors is an integer number (74303838).

Almost surely, 22121411504 is an apocalyptic number.

2121411504 is a gapful number since it is divisible by the number (24) 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 2121411504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972153520).

2121411504 is an abundant number, since it is smaller than the sum of its proper divisors (3822895536).

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

2121411504 is a wasteful number, since it uses less digits than its factorization.

2121411504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63478 (or 63472 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 2121411504 is about 46058.7831363357. The cubic root of 2121411504 is about 1284.9166986632.

Adding to 2121411504 its reverse (4051141212), we get a palindrome (6172552716).

The spelling of 2121411504 in words is "two billion, one hundred twenty-one million, four hundred eleven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 82 102 123 136 164 204 246 272 328 408 492 656 697 816 984 1394 1968 2091 2788 4182 5576 8364 11152 16728 33456 63409 126818 190227 253636 380454 507272 760908 1014544 1077953 1521816 2155906 2599769 3043632 3233859 4311812 5199538 6467718 7799307 8623624 10399076 12935436 15598614 17247248 20798152 25870872 31197228 41596304 44196073 51741744 62394456 88392146 124788912 132588219 176784292 265176438 353568584 530352876 707137168 1060705752 2121411504