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206795554380 = 2232523307916223
BaseRepresentation
bin1100000010010111111…
…0011011111001001100
3201202202221022121121200
43000211332123321030
511342004130220010
6235000042225500
720640405131622
oct3004576337114
9652687277550
10206795554380
117a779776848
12340b34b5290
131666817247c
14a01a81d512
1555a4d56cc0
hex3025f9be4c

206795554380 has 144 divisors (see below), whose sum is σ = 654805831680. Its totient is φ = 52727469696.

The previous prime is 206795554379. The next prime is 206795554397. The reversal of 206795554380 is 83455597602.

206795554380 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 9 + 5 + 554 + 3 + 80 = 666.

It is a super-2 number, since 2×2067955543802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12738949 + ... + 12755171.

It is an arithmetic number, because the mean of its divisors is an integer number (4547262720).

Almost surely, 2206795554380 is an apocalyptic number.

206795554380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206795554380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327402915840).

206795554380 is an abundant number, since it is smaller than the sum of its proper divisors (448010277300).

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

206795554380 is a wasteful number, since it uses less digits than its factorization.

206795554380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19340 (or 19335 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 206795554380 in words is "two hundred six billion, seven hundred ninety-five million, five hundred fifty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 3079 4140 6158 9237 12316 15395 16223 18474 27711 30790 32446 36948 46185 48669 55422 61580 64892 70817 81115 92370 97338 110844 138555 141634 146007 162230 184740 194676 212451 243345 277110 283268 292014 324460 354085 373129 424902 486690 554220 584028 637353 708170 730035 746258 849804 973380 1062255 1119387 1274706 1416340 1460070 1492516 1865645 2124510 2238774 2549412 2920140 3186765 3358161 3731290 4249020 4477548 5596935 6373530 6716322 7462580 11193870 12747060 13432644 16790805 22387740 33581610 49950617 67163220 99901234 149851851 199802468 249753085 299703702 449555553 499506170 599407404 749259255 899111106 999012340 1148864191 1498518510 1798222212 2247777765 2297728382 2997037020 3446592573 4495555530 4595456764 5744320955 6893185146 8991111060 10339777719 11488641910 13786370292 17232962865 20679555438 22977283820 34465925730 41359110876 51698888595 68931851460 103397777190 206795554380