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215200116612 = 2232134111215349
BaseRepresentation
bin1100100001101011101…
…1010010111110000100
3202120110122222121120100
43020122323102332010
512011212212212422
6242510033204100
721355600544535
oct3103273227604
9676418877510
10215200116612
11832a1945848
123585a100630
13173a7463610
14a5b6b1868c
1558e7b177ac
hex321aed2f84

215200116612 has 72 divisors (see below), whose sum is σ = 600110947800. Its totient is φ = 64600404480.

The previous prime is 215200116581. The next prime is 215200116661. The reversal of 215200116612 is 216611002512.

215200116612 is a `hidden beast` number, since 2 + 15 + 20 + 0 + 1 + 16 + 612 = 666.

215200116612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 617796 + 215199498816 = 786^2 + 463896^2 .

It is a super-3 number, since 3×2152001166123 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 5588487 + ... + 5626862.

It is an arithmetic number, because the mean of its divisors is an integer number (8334874275).

Almost surely, 2215200116612 is an apocalyptic number.

It is an amenable number.

215200116612 is an abundant number, since it is smaller than the sum of its proper divisors (384910831188).

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

215200116612 is a wasteful number, since it uses less digits than its factorization.

215200116612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11215413 (or 11215408 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 215200116612 in words is "two hundred fifteen billion, two hundred million, one hundred sixteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 1066 1476 1599 2132 3198 4797 6396 9594 19188 11215349 22430698 33646047 44861396 67292094 100938141 134584188 145799537 201876282 291599074 403752564 437398611 459829309 583198148 874797222 919658618 1312195833 1379487927 1749594444 1839317236 2624391666 2758975854 4138463781 5248783332 5517951708 5977781017 8276927562 11955562034 16553855124 17933343051 23911124068 35866686102 53800029153 71733372204 107600058306 215200116612