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216778704025 = 52134192292
BaseRepresentation
bin1100100111100100000…
…1001000010010011001
3202201112200101011101211
43021321001020102121
512022430322012100
6243330423543121
721442656403312
oct3117101102231
9681480334354
10216778704025
1183a31a21944
123601a8baaa1
1317599510000
14a6c6637609
15598b4d71ba
hex3279048499

216778704025 has 135 divisors (see below), whose sum is σ = 318301855521. Its totient is φ = 146427765120.

The previous prime is 216778704013. The next prime is 216778704119. The reversal of 216778704025 is 520407877612.

The square root of 216778704025 is 465595.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 84032153689 + 132746550336 = 289883^2 + 364344^2 .

It is not a de Polignac number, because 216778704025 - 211 = 216778701977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 216778704025.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7475127711 + ... + 7475127739.

Almost surely, 2216778704025 is an apocalyptic number.

216778704025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

216778704025 is the 465595-th square number.

216778704025 is the 232798-th centered octagonal number.

It is an amenable number.

216778704025 is a deficient number, since it is larger than the sum of its proper divisors (101523151496).

216778704025 is an frugal number, since it uses more digits than its factorization.

216778704025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 49.

Multiplying 216778704025 by its sum of digits (49), we get a square (10622156497225 = 32591652).

The spelling of 216778704025 in words is "two hundred sixteen billion, seven hundred seventy-eight million, seven hundred four thousand, twenty-five".

Divisors: 1 5 13 19 25 29 65 95 145 169 247 325 361 377 475 551 725 841 845 1235 1805 1885 2197 2755 3211 4205 4225 4693 4901 6175 7163 9025 9425 10469 10933 10985 13775 15979 16055 21025 23465 24505 28561 35815 41743 52345 54665 54925 61009 63713 79895 80275 93119 117325 122525 136097 142129 142805 179075 207727 208715 261725 273325 303601 305045 318565 399475 465595 542659 680485 710645 714025 793117 828269 1038635 1043575 1210547 1518005 1525225 1592825 1769261 1847677 2327975 2700451 2713295 3402425 3553225 3946813 3965585 4141345 5193175 6052735 7590025 8846305 9238385 10310521 13502255 13566475 15737111 19734065 19827925 20706725 23000393 24019801 30263675 35105863 44231525 46191925 51308569 51552605 67511275 78685555 98670325 115001965 120099005 175529315 256542845 257763025 299005109 393427775 456376219 575009825 600495025 667011397 877646575 1282714225 1495025545 2281881095 3335056985 7475127725 8671148161 11409405475 16675284925 43355740805 216778704025