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214235661376 = 26112171627337
BaseRepresentation
bin1100011110000101110…
…0001100010001000000
3202110222110012012201001
43013201130030101000
512002223312131001
6242230221421344
721322650034642
oct3074134142100
9673873165631
10214235661376
118294749a300
123562b10a854
13172826c0149
14a5249c0892
15588d108001
hex31e170c440

214235661376 has 84 divisors (see below), whose sum is σ = 494772590844. Its totient is φ = 91651563520.

The previous prime is 214235661349. The next prime is 214235661377. The reversal of 214235661376 is 673166532412.

It is a happy number.

214235661376 is digitally balanced in base 3, 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 2 ways, for example, as 156816000000 + 57419661376 = 396000^2 + 239624^2 .

It is not an unprimeable number, because it can be changed into a prime (214235661377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 682021 + ... + 945316.

It is an arithmetic number, because the mean of its divisors is an integer number (5890149891).

Almost surely, 2214235661376 is an apocalyptic number.

It is an amenable number.

214235661376 is an abundant number, since it is smaller than the sum of its proper divisors (280536929468).

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

214235661376 is a wasteful number, since it uses less digits than its factorization.

214235661376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627388 (or 1627367 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 46.

The spelling of 214235661376 in words is "two hundred fourteen billion, two hundred thirty-five million, six hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 121 136 176 187 242 272 352 374 484 544 704 748 968 1088 1496 1936 2057 2992 3872 4114 5984 7744 8228 11968 16456 32912 65824 131648 1627337 3254674 6509348 13018696 17900707 26037392 27664729 35801414 52074784 55329458 71602828 104149568 110658916 143205656 196907777 221317832 286411312 304312019 393815554 442635664 572822624 608624038 787631108 885271328 1145645248 1217248076 1575262216 1770542656 2434496152 3150524432 3347432209 4868992304 6301048864 6694864418 9737984608 12602097728 13389728836 19475969216 26779457672 53558915344 107117830688 214235661376