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208694944128 = 27311172906291
BaseRepresentation
bin1100001001011100110…
…0000010000110000000
3201221200022100121112010
43002113030002012000
511404401401203003
6235512332532520
721035440520226
oct3022714020600
9657608317463
10208694944128
1180563945440
1234543621140
13168ab821328
14a15aba8b16
155666994003
hex3097302180

208694944128 has 128 divisors (see below), whose sum is σ = 640314253440. Its totient is φ = 59520819200.

The previous prime is 208694944109. The next prime is 208694944153. The reversal of 208694944128 is 821449496802.

It is a happy number.

208694944128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381338 + ... + 1524953.

It is an arithmetic number, because the mean of its divisors is an integer number (5002455105).

Almost surely, 2208694944128 is an apocalyptic number.

It is an amenable number.

208694944128 is an abundant number, since it is smaller than the sum of its proper divisors (431619309312).

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

208694944128 is a wasteful number, since it uses less digits than its factorization.

208694944128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906336 (or 2906324 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 208694944128 in words is "two hundred eight billion, six hundred ninety-four million, nine hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 352 374 384 408 528 544 561 704 748 816 1056 1088 1122 1408 1496 1632 2112 2176 2244 2992 3264 4224 4488 5984 6528 8976 11968 17952 23936 35904 71808 2906291 5812582 8718873 11625164 17437746 23250328 31969201 34875492 46500656 49406947 63938402 69750984 93001312 95907603 98813894 127876804 139501968 148220841 186002624 191815206 197627788 255753608 279003936 296441682 372005248 383630412 395255576 511507216 543476417 558007872 592883364 767260824 790511152 1023014432 1086952834 1116015744 1185766728 1534521648 1581022304 1630429251 2046028864 2173905668 2371533456 3069043296 3162044608 3260858502 4092057728 4347811336 4743066912 6138086592 6324089216 6521717004 8695622672 9486133824 12276173184 13043434008 17391245344 18972267648 26086868016 34782490688 52173736032 69564981376 104347472064 208694944128