Search a number
-
+
10020766868 = 22723411911987
BaseRepresentation
bin10010101010100100…
…01100010010010100
3221212100211200220122
421111102030102110
5131010304014433
64334203451112
7503216053520
oct112522142224
927770750818
1010020766868
114282509512
121b37b26a98
13c390ab968
146b0c0ad80
153d9b11198
hex25548c494

10020766868 has 96 divisors (see below), whose sum is σ = 21545975808. Its totient is φ = 3984710400.

The previous prime is 10020766849. The next prime is 10020766901. The reversal of 10020766868 is 86866702001.

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, 5042171 + ... + 5044157.

It is an arithmetic number, because the mean of its divisors is an integer number (224437248).

Almost surely, 210020766868 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 10020766868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10772987904).

10020766868 is an abundant number, since it is smaller than the sum of its proper divisors (11525208940).

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

10020766868 is a wasteful number, since it uses less digits than its factorization.

10020766868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 10020766868 in words is "ten billion, twenty million, seven hundred sixty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 23 28 41 46 82 92 161 164 191 287 322 382 574 644 764 943 1148 1337 1886 1987 2674 3772 3974 4393 5348 6601 7831 7948 8786 13202 13909 15662 17572 26404 27818 30751 31324 45701 54817 55636 61502 81467 91402 109634 123004 162934 180113 182804 219268 319907 325868 360226 379517 570269 639814 720452 759034 1140538 1260791 1279628 1518068 1873741 2281076 2521582 2656619 3747482 5043164 5313238 7494964 8728891 10626476 13116187 15560197 17457782 26232374 31120394 34915564 52464748 61102237 62240788 108921379 122204474 217842758 244408948 357884531 435685516 715769062 1431538124 2505191717 5010383434 10020766868