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690936330400 = 255211323513251
BaseRepresentation
bin10100000110111110000…
…00111011100010100000
32110001102112121021110021
422003133000323202200
542310014200033100
61245224535243224
7100630021622551
oct12033700734240
92401375537407
10690936330400
1124702a600568
12b1aa9219514
1350202756634
1425627678328
1512e8d500a1a
hexa0df03b8a0

690936330400 has 144 divisors (see below), whose sum is σ = 1702922755968. Its totient is φ = 273728000000.

The previous prime is 690936330397. The next prime is 690936330419. The reversal of 690936330400 is 4033639096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212528775 + ... + 212532025.

It is an arithmetic number, because the mean of its divisors is an integer number (11825852472).

Almost surely, 2690936330400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690936330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851461377984).

690936330400 is an abundant number, since it is smaller than the sum of its proper divisors (1011986425568).

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

690936330400 is a wasteful number, since it uses less digits than its factorization.

690936330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 43.

Adding to 690936330400 its reverse (4033639096), we get a palindrome (694969969496).

The spelling of 690936330400 in words is "six hundred ninety billion, nine hundred thirty-six million, three hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 160 200 226 400 452 565 800 904 1130 1808 2260 2351 2825 3251 3616 4520 4702 5650 6502 9040 9404 11300 11755 13004 16255 18080 18808 22600 23510 26008 32510 37616 45200 47020 52016 58775 65020 75232 81275 90400 94040 104032 117550 130040 162550 188080 235100 260080 265663 325100 367363 376160 470200 520160 531326 650200 734726 940400 1062652 1300400 1328315 1469452 1836815 1880800 2125304 2600800 2656630 2938904 3673630 4250608 5313260 5877808 6641575 7347260 7643101 8501216 9184075 10626520 11755616 13283150 14694520 15286202 18368150 21253040 26566300 29389040 30572404 36736300 38215505 42506080 53132600 58778080 61144808 73472600 76431010 106265200 122289616 146945200 152862020 191077525 212530400 244579232 293890400 305724040 382155050 611448080 764310100 863670413 1222896160 1528620200 1727340826 3057240400 3454681652 4318352065 6114480800 6909363304 8636704130 13818726608 17273408260 21591760325 27637453216 34546816520 43183520650 69093633040 86367041300 138187266080 172734082600 345468165200 690936330400