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21962000164 = 22133713218641
BaseRepresentation
bin10100011101000010…
…011000011100100100
32002200120101012111111
4110131002120130210
5324434233001124
614031133514404
71405144630666
oct243502303444
962616335444
1021962000164
11934aa81865
12430b042a04
1320c0008990
1410c4acc536
15888124494
hex51d098724

21962000164 has 48 divisors (see below), whose sum is σ = 42545672176. Its totient is φ = 9853747200.

The previous prime is 21962000131. The next prime is 21962000173. The reversal of 21962000164 is 46100026912.

It can be written as a sum of positive squares in 8 ways, for example, as 10614564 + 21951385600 = 3258^2 + 148160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2537284 + ... + 2545924.

Almost surely, 221962000164 is an apocalyptic number.

It is an amenable number.

21962000164 is a deficient number, since it is larger than the sum of its proper divisors (20583672012).

21962000164 is a wasteful number, since it uses less digits than its factorization.

21962000164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016 (or 10014 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 21962000164 in words is "twenty-one billion, nine hundred sixty-two million, one hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 4 13 26 37 52 74 148 481 962 1321 1924 2642 5284 8641 17173 17282 34346 34564 48877 68692 97754 112333 195508 224666 319717 449332 635401 639434 1270802 1278868 2541604 4156321 8312642 11414761 16625284 22829522 45659044 148391893 296783786 422346157 593567572 844692314 1689384628 5490500041 10981000082 21962000164