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10069940304 = 2433313891933
BaseRepresentation
bin10010110000011011…
…10001100001010000
3221222210100222012000
421120031301201100
5131110401042204
64343121434000
7504354036354
oct113015614120
927883328160
1010069940304
1142a8245216
121b5049b900
13c46337a78
146b756b464
153de0c6039
hex258371850

10069940304 has 160 divisors (see below), whose sum is σ = 29929036800. Its totient is φ = 3238341120.

The previous prime is 10069940297. The next prime is 10069940311. The reversal of 10069940304 is 40304996001.

It is an interprime number because it is at equal distance from previous prime (10069940297) and next prime (10069940311).

It is a super-2 number, since 2×100699403042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5208522 + ... + 5210454.

It is an arithmetic number, because the mean of its divisors is an integer number (187056480).

Almost surely, 210069940304 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 10069940304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14964518400).

10069940304 is an abundant number, since it is smaller than the sum of its proper divisors (19859096496).

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

10069940304 is a wasteful number, since it uses less digits than its factorization.

10069940304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10069940304 in words is "ten billion, sixty-nine million, nine hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 389 432 496 558 744 778 837 1116 1167 1488 1556 1674 1933 2232 2334 3112 3348 3501 3866 4464 4668 5799 6224 6696 7002 7732 9336 10503 11598 12059 13392 14004 15464 17397 18672 21006 23196 24118 28008 30928 34794 36177 42012 46392 48236 52191 56016 59923 69588 72354 84024 92784 96472 104382 108531 119846 139176 144708 168048 179769 192944 208764 217062 239692 278352 289416 325593 359538 417528 434124 479384 539307 578832 651186 719076 751937 835056 868248 958768 1078614 1302372 1438152 1503874 1617921 1736496 2157228 2255811 2604744 2876304 3007748 3235842 4314456 4511622 5209488 6015496 6471684 6767433 8628912 9023244 12030992 12943368 13534866 18046488 20302299 23310047 25886736 27069732 36092976 40604598 46620094 54139464 69930141 81209196 93240188 108278928 139860282 162418392 186480376 209790423 279720564 324836784 372960752 419580846 559441128 629371269 839161692 1118882256 1258742538 1678323384 2517485076 3356646768 5034970152 10069940304