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638353502361 = 32541131105669
BaseRepresentation
bin10010100101000001101…
…01010111000010011001
32021000200221201211211200
421102200311113002121
540424321444033421
61205131110544413
764055665146111
oct11224065270231
92230627654750
10638353502361
112267a6a01593
12a3873368109
1348272876ac3
1422c79cd6041
151191201d726
hex94a0d57099

638353502361 has 12 divisors (see below), whose sum is σ = 923770550820. Its totient is φ = 424782364320.

The previous prime is 638353502351. The next prime is 638353502377. The reversal of 638353502361 is 163205353836.

638353502361 is a `hidden beast` number, since 6 + 3 + 83 + 5 + 3 + 502 + 3 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 168792792336 + 469560710025 = 410844^2 + 685245^2 .

It is not a de Polignac number, because 638353502361 - 211 = 638353500313 is a prime.

It is a super-4 number, since 4×6383535023614 (a number of 48 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (638353502351) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 65547966 + ... + 65557703.

It is an arithmetic number, because the mean of its divisors is an integer number (76980879235).

Almost surely, 2638353502361 is an apocalyptic number.

It is an amenable number.

638353502361 is a deficient number, since it is larger than the sum of its proper divisors (285417048459).

638353502361 is a wasteful number, since it uses less digits than its factorization.

638353502361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131106216 (or 131106213 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 638353502361 in words is "six hundred thirty-eight billion, three hundred fifty-three million, five hundred two thousand, three hundred sixty-one".

Divisors: 1 3 9 541 1623 4869 131105669 393317007 1179951021 70928166929 212784500787 638353502361