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2121415416 = 2332123723819
BaseRepresentation
bin111111001110010…
…0011101011111000
312110211211001212100
41332130203223320
513321040243131
6550301143400
7103366506411
oct17634435370
95424731770
102121415416
1199953588a
124b255ab60
1327a6785c3
14161a62808
15c63977e6
hex7e723af8

2121415416 has 48 divisors (see below), whose sum is σ = 5750386200. Its totient is φ = 706537152.

The previous prime is 2121415409. The next prime is 2121415423. The reversal of 2121415416 is 6145141212.

2121415416 is a `hidden beast` number, since 21 + 214 + 15 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (2121415409) and next prime (2121415423).

It is a self number, because there is not a number n which added to its sum of digits gives 2121415416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77155 + ... + 100973.

Almost surely, 22121415416 is an apocalyptic number.

It is an amenable number.

2121415416 is an abundant number, since it is smaller than the sum of its proper divisors (3628970784).

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

2121415416 is a wasteful number, since it uses less digits than its factorization.

2121415416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25068 (or 25061 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 2121415416 is about 46058.8256037863. The cubic root of 2121415416 is about 1284.9174884818.

Adding to 2121415416 its reverse (6145141212), we get a palindrome (8266556628).

The spelling of 2121415416 in words is "two billion, one hundred twenty-one million, four hundred fifteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1237 2474 3711 4948 7422 9896 11133 14844 22266 23819 29688 44532 47638 71457 89064 95276 142914 190552 214371 285828 428742 571656 857484 1714968 29464103 58928206 88392309 117856412 176784618 235712824 265176927 353569236 530353854 707138472 1060707708 2121415416