Search a number
-
+
102828599930655 = 325414311871091939
BaseRepresentation
bin10111011000010110100110…
…001010111110111100011111
3111111002022120221010010112100
4113120112212022332330133
5101434220433040240110
61002410450123540143
730442056364636344
oct2730264612767437
9444068527103470
10102828599930655
112a845400a19985
12b648a5608a653
13454b906947871
141b56d061427cb
15bd4c1b80cbc0
hex5d85a62bef1f

102828599930655 has 96 divisors (see below), whose sum is σ = 186987160039680. Its totient is φ = 52215951029760.

The previous prime is 102828599930633. The next prime is 102828599930657. The reversal of 102828599930655 is 556039995828201.

102828599930655 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 28 + 599 + 9 + 3 + 0 + 6 + 5 + 5 = 666.

It is not a de Polignac number, because 102828599930655 - 216 = 102828599865119 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102828599930657) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93624676 + ... + 94716614.

It is an arithmetic number, because the mean of its divisors is an integer number (1947782917080).

Almost surely, 2102828599930655 is an apocalyptic number.

102828599930655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102828599930655 is a deficient number, since it is larger than the sum of its proper divisors (84158560109025).

102828599930655 is a wasteful number, since it uses less digits than its factorization.

102828599930655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093221 (or 1093218 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 102828599930655 in words is "one hundred two trillion, eight hundred twenty-eight billion, five hundred ninety-nine million, nine hundred thirty thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 41 43 45 123 129 205 215 369 387 615 645 1187 1763 1845 1935 3561 5289 5935 8815 10683 15867 17805 26445 48667 51041 53415 79335 146001 153123 243335 255205 438003 459369 730005 765615 1091939 2092681 2190015 2296845 3275817 5459695 6278043 9827451 10463405 16379085 18834129 31390215 44769499 46953377 49137255 94170645 134308497 140860131 223847495 234766885 402925491 422580393 671542485 704300655 1296131593 1925088457 2014627455 2112901965 3888394779 5775265371 6480657965 9625442285 11665184337 17325796113 19441973895 28876326855 53141395313 55733658499 58325921685 86628980565 159424185939 167200975497 265706976565 278668292495 478272557817 501602926491 797120929695 836004877485 2285079998459 2391362789085 2508014632455 6855239995377 11425399992295 20565719986131 34276199976885 102828599930655