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10385696020 = 22572195411031
BaseRepresentation
bin10011010110000100…
…10010010100010100
3222210210112000121011
421223002102110110
5132232214233040
64434321302004
7515236650100
oct115302222424
928723460534
1010385696020
11444a500157
12201a194904
13c9689117b
14707482900
1540bb983ea
hex26b092514

10385696020 has 144 divisors (see below), whose sum is σ = 26781390720. Its totient is φ = 3363897600.

The previous prime is 10385695979. The next prime is 10385696059. The reversal of 10385696020 is 2069658301.

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 47 ways as a sum of consecutive naturals, for example, 10072905 + ... + 10073935.

It is an arithmetic number, because the mean of its divisors is an integer number (185981880).

Almost surely, 210385696020 is an apocalyptic number.

10385696020 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 10385696020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390695360).

10385696020 is an abundant number, since it is smaller than the sum of its proper divisors (16395694700).

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

10385696020 is a wasteful number, since it uses less digits than its factorization.

10385696020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 10385696020 in words is "ten billion, three hundred eighty-five million, six hundred ninety-six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 541 665 931 980 1031 1082 1330 1862 2062 2164 2660 2705 3724 3787 4124 4655 5155 5410 7217 7574 9310 10279 10310 10820 14434 15148 18620 18935 19589 20558 20620 26509 28868 36085 37870 39178 41116 50519 51395 53018 71953 72170 75740 78356 97945 101038 102790 106036 132545 137123 143906 144340 195890 202076 205580 252595 265090 274246 287812 359765 391780 503671 505190 530180 548492 557771 685615 719530 959861 1007342 1010380 1115542 1371230 1439060 1919722 2014684 2231084 2518355 2742460 2788855 3839444 3904397 4799305 5036710 5577710 7808794 9598610 10073420 10597649 11155420 15617588 19197220 19521985 21195298 27330779 39043970 42390596 52988245 54661558 74183543 78087940 105976490 109323116 136653895 148367086 211952980 273307790 296734172 370917715 519284801 546615580 741835430 1038569602 1483670860 2077139204 2596424005 5192848010 10385696020