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13956237648 = 243296918317
BaseRepresentation
bin11001111111101101…
…10100100101010000
31100000122010022220200
430333312310211100
5212040244101043
610224510335200
71002564030333
oct147766644520
940018108820
1013956237648
115a11a28a01
122855aba500
1314155289b2
1496576461a
1556a38b7d3
hex33fdb4950

13956237648 has 30 divisors (see below), whose sum is σ = 39058082154. Its totient is φ = 4652079168.

The previous prime is 13956237629. The next prime is 13956237653. The reversal of 13956237648 is 84673265931.

13956237648 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 623 + 7 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13860823824 + 95413824 = 117732^2 + 9768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13956237594 and 13956237603.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 48459015 + ... + 48459302.

Almost surely, 213956237648 is an apocalyptic number.

13956237648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13956237648 is an abundant number, since it is smaller than the sum of its proper divisors (25101844506).

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

13956237648 is a wasteful number, since it uses less digits than its factorization.

13956237648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96918331 (or 96918322 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 13956237648 in words is "thirteen billion, nine hundred fifty-six million, two hundred thirty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 96918317 193836634 290754951 387673268 581509902 775346536 872264853 1163019804 1550693072 1744529706 2326039608 3489059412 4652079216 6978118824 13956237648