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214356763621 = 72112132781073
BaseRepresentation
bin1100011110100010101…
…0001010001111100101
3202111021220001211202101
43013220222022033211
512003000312413441
6242250225212101
721325650266500
oct3075052121745
9674256054671
10214356763621
11829a9894200
1235663791031
13172a1811990
14a536b06137
155898a7a231
hex31e8a8a3e5

214356763621 has 36 divisors (see below), whose sum is σ = 295166507916. Its totient is φ = 154182631680.

The previous prime is 214356763619. The next prime is 214356763633. The reversal of 214356763621 is 126367653412.

It is a happy number.

214356763621 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 105086188900 + 109270574721 = 324170^2 + 330561^2 .

It is not a de Polignac number, because 214356763621 - 21 = 214356763619 is a prime.

It is a super-2 number, since 2×2143567636212 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214356763661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1313460 + ... + 1467613.

Almost surely, 2214356763621 is an apocalyptic number.

It is an amenable number.

214356763621 is a deficient number, since it is larger than the sum of its proper divisors (80809744295).

214356763621 is a wasteful number, since it uses less digits than its factorization.

214356763621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781122 (or 2781104 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 46.

The spelling of 214356763621 in words is "two hundred fourteen billion, three hundred fifty-six million, seven hundred sixty-three thousand, six hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 121 143 539 637 847 1001 1573 5929 7007 11011 77077 2781073 19467511 30591803 36153949 136272577 214142621 253077643 336509833 397693439 1498998347 1771543501 2355568831 2783854073 4374627829 16488981817 19486978511 30622394803 214356763621