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216650679552 = 2832293242497
BaseRepresentation
bin1100100111000101100…
…0110000010100000000
3202201012202110211211200
43021301120300110000
512022200033221202
6243310011541200
721436543251156
oct3116130602400
9681182424750
10216650679552
118397672a19a
1235ba3a5a800
1317578b36798
14a6b362d3d6
155980148e1c
hex3271630500

216650679552 has 108 divisors (see below), whose sum is σ = 646197426420. Its totient is φ = 69726633984.

The previous prime is 216650679551. The next prime is 216650679577. The reversal of 216650679552 is 255976056612.

216650679552 is a `hidden beast` number, since 2 + 1 + 66 + 506 + 79 + 5 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149416263936 + 67234415616 = 386544^2 + 259296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216650679551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1554433 + ... + 1688064.

Almost surely, 2216650679552 is an apocalyptic number.

It is an amenable number.

216650679552 is an abundant number, since it is smaller than the sum of its proper divisors (429546746868).

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

216650679552 is a wasteful number, since it uses less digits than its factorization.

216650679552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242548 (or 3242531 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 216650679552 in words is "two hundred sixteen billion, six hundred fifty million, six hundred seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1856 2088 2304 2784 3712 4176 5568 7424 8352 11136 16704 22272 33408 66816 3242497 6484994 9727491 12969988 19454982 25939976 29182473 38909964 51879952 58364946 77819928 94032413 103759904 116729892 155639856 188064826 207519808 233459784 282097239 311279712 376129652 415039616 466919568 564194478 622559424 752259304 830079232 846291717 933839136 1128388956 1245118848 1504518608 1692583434 1867678272 2256777912 2490237696 3009037216 3385166868 3735356544 4513555824 6018074432 6770333736 7470713088 9027111648 12036148864 13540667472 18054223296 24072297728 27081334944 36108446592 54162669888 72216893184 108325339776 216650679552