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10682940216 = 23313217154933
BaseRepresentation
bin10011111001100000…
…01011101100111000
31000120111211120222110
421330300023230320
5133334313041331
64524020252320
7525506331204
oct117460135470
930514746873
1010682940216
114592272113
1220a18410a0
131013335800
14734b39b04
15427d10946
hex27cc0bb38

10682940216 has 96 divisors (see below), whose sum is σ = 30621155760. Its totient is φ = 3093682176.

The previous prime is 10682940193. The next prime is 10682940227. The reversal of 10682940216 is 61204928601.

10682940216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106829402162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 23 ways as a sum of consecutive naturals, for example, 8515 + ... + 146418.

Almost surely, 210682940216 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 10682940216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15310577880).

10682940216 is an abundant number, since it is smaller than the sum of its proper divisors (19938215544).

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

10682940216 is a wasteful number, since it uses less digits than its factorization.

10682940216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154985 (or 154968 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 10682940216 in words is "ten billion, six hundred eighty-two million, nine hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 169 204 221 312 338 408 442 507 663 676 884 1014 1326 1352 1768 2028 2652 2873 4056 5304 5746 8619 11492 17238 22984 34476 68952 154933 309866 464799 619732 929598 1239464 1859196 2014129 2633861 3718392 4028258 5267722 6042387 7901583 8056516 10535444 12084774 15803166 16113032 21070888 24169548 26183677 31606332 34240193 48339096 52367354 63212664 68480386 78551031 102720579 104734708 136960772 157102062 205441158 209469416 273921544 314204124 410882316 445122509 628408248 821764632 890245018 1335367527 1780490036 2670735054 3560980072 5341470108 10682940216