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10062199920 = 2435473372647
BaseRepresentation
bin10010101111100000…
…01111110001110000
3221222020210201101010
421113300033301300
5131101410344140
64342243510520
7504231200553
oct112760176160
927866721333
1010062199920
1142a3938803
121b49988440
13c44857866
146b651469a
153dd597880
hex257c0fc70

10062199920 has 160 divisors (see below), whose sum is σ = 31963097088. Its totient is φ = 2617380864.

The previous prime is 10062199897. The next prime is 10062199933. The reversal of 10062199920 is 2999126001.

10062199920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3800037 + ... + 3802683.

Almost surely, 210062199920 is an apocalyptic number.

10062199920 is a gapful number since it is divisible by the number (10) 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 10062199920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15981548544).

10062199920 is an abundant number, since it is smaller than the sum of its proper divisors (21900897168).

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

10062199920 is a wasteful number, since it uses less digits than its factorization.

10062199920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The spelling of 10062199920 in words is "ten billion, sixty-two million, one hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 337 376 470 564 674 705 752 940 1011 1128 1348 1410 1685 1880 2022 2256 2647 2696 2820 3370 3760 4044 5055 5294 5392 5640 6740 7941 8088 10110 10588 11280 13235 13480 15839 15882 16176 20220 21176 26470 26960 31678 31764 39705 40440 42352 47517 52940 63356 63528 79195 79410 80880 95034 105880 124409 126712 127056 158390 158820 190068 211760 237585 248818 253424 316780 317640 373227 380136 475170 497636 622045 633560 635280 746454 760272 892039 950340 995272 1244090 1267120 1492908 1784078 1866135 1900680 1990544 2488180 2676117 2985816 3568156 3732270 3801360 4460195 4976360 5352234 5971632 7136312 7464540 8920390 9952720 10704468 13380585 14272624 14929080 17840780 21408936 26761170 29858160 35681560 41925833 42817872 53522340 71363120 83851666 107044680 125777499 167703332 209629165 214089360 251554998 335406664 419258330 503109996 628887495 670813328 838516660 1006219992 1257774990 1677033320 2012439984 2515549980 3354066640 5031099960 10062199920