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21216666666712 = 23113123773271927
BaseRepresentation
bin1001101001011111000111…
…11000010100011011011000
32210010021220222110000020111
410310233203320110123120
510240103213131313322
6113042445131134104
74316565531035656
oct464574370243330
983107828400214
1021216666666712
11683aa35241550
122467b228a4334
13bab9527c2aba
14534c6c095dd6
1526bd62d53177
hex134be3e146d8

21216666666712 has 64 divisors (see below), whose sum is σ = 44816513955840. Its totient is φ = 9328915411200.

The previous prime is 21216666666709. The next prime is 21216666666721. The reversal of 21216666666712 is 21766666661212.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4848493 + ... + 8120419.

It is an arithmetic number, because the mean of its divisors is an integer number (700258030560).

Almost surely, 221216666666712 is an apocalyptic number.

21216666666712 is a gapful number since it is divisible by the number (22) 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 21216666666712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22408256977920).

21216666666712 is an abundant number, since it is smaller than the sum of its proper divisors (23599847289128).

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

21216666666712 is a wasteful number, since it uses less digits than its factorization.

21216666666712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274352 (or 3274348 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 58.

The spelling of 21216666666712 in words is "twenty-one trillion, two hundred sixteen billion, six hundred sixty-six million, six hundred sixty-six thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 2377 2728 4754 9508 19016 26147 52294 73687 104588 147374 209176 294748 589496 810557 1621114 3242228 3271927 6484456 6543854 13087708 26175416 35991197 71982394 101429737 143964788 202859474 287929576 405718948 811437896 1115727107 2231454214 4462908428 7777370479 8925816856 15554740958 31109481916 62218963832 85551075269 171102150538 241098484849 342204301076 482196969698 684408602152 964393939396 1928787878792 2652083333339 5304166666678 10608333333356 21216666666712