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208379630240 = 2551989770179
BaseRepresentation
bin1100001000010001100…
…1001101001010100000
3201220212100001000011222
43002010121031022200
511403230141131430
6235421150354212
721024561426605
oct3020431151240
9656770030158
10208379630240
1180411961451
1234475abb968
131685b3c1072
14a12ad6a6ac
155648e5c9e5
hex308464d2a0

208379630240 has 96 divisors (see below), whose sum is σ = 524030472000. Its totient is φ = 78077564928.

The previous prime is 208379630231. The next prime is 208379630323. The reversal of 208379630240 is 42036973802.

It is a junction number, because it is equal to n+sod(n) for n = 208379630191 and 208379630200.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 114530 + ... + 655649.

It is an arithmetic number, because the mean of its divisors is an integer number (5458650750).

Almost surely, 2208379630240 is an apocalyptic number.

208379630240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208379630240 is an abundant number, since it is smaller than the sum of its proper divisors (315650841760).

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

208379630240 is a wasteful number, since it uses less digits than its factorization.

208379630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770302 (or 770294 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 208379630240 in words is "two hundred eight billion, three hundred seventy-nine million, six hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 89 95 152 160 178 190 304 356 380 445 608 712 760 890 1424 1520 1691 1780 2848 3040 3382 3560 6764 7120 8455 13528 14240 16910 27056 33820 54112 67640 135280 270560 770179 1540358 3080716 3850895 6161432 7701790 12322864 14633401 15403580 24645728 29266802 30807160 58533604 61614320 68545931 73167005 117067208 123228640 137091862 146334010 234134416 274183724 292668020 342729655 468268832 548367448 585336040 685459310 1096734896 1170672080 1302372689 1370918620 2193469792 2341344160 2604745378 2741837240 5209490756 5483674480 6511863445 10418981512 10967348960 13023726890 20837963024 26047453780 41675926048 52094907560 104189815120 208379630240