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13656531324 = 22317191463757
BaseRepresentation
bin11001011011111111…
…00010000101111100
31022020202011200010110
430231333202011330
5210432033000244
610135042510020
7662264413062
oct145577420574
938222150113
1013656531324
115878835127
122791665310
131398401787
14937a2a032
1554ddd99b9
hex32dfe217c

13656531324 has 96 divisors (see below), whose sum is σ = 34034466816. Its totient is φ = 4247147520.

The previous prime is 13656531323. The next prime is 13656531419. The reversal of 13656531324 is 42313565631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13656531323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18039954 + ... + 18040710.

It is an arithmetic number, because the mean of its divisors is an integer number (354525696).

Almost surely, 213656531324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13656531324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17017233408).

13656531324 is an abundant number, since it is smaller than the sum of its proper divisors (20377935492).

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

13656531324 is a wasteful number, since it uses less digits than its factorization.

13656531324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1433 counting only the distinct ones).

The product of its digits is 194400, while the sum is 39.

The spelling of 13656531324 in words is "thirteen billion, six hundred fifty-six million, five hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 191 204 382 463 573 757 764 926 1146 1389 1514 1852 2271 2292 2778 3028 3247 4542 5556 6494 7871 9084 9741 12869 12988 15742 19482 23613 25738 31484 38607 38964 47226 51476 77214 88433 94452 144587 154428 176866 265299 289174 350491 353732 433761 530598 578348 700982 867522 1051473 1061196 1401964 1503361 1735044 2102946 2457979 3006722 4205892 4510083 4915958 5958347 6013444 7373937 9020166 9831916 11916694 14747874 17875041 18040332 23833388 29495748 35750082 66943781 71500164 133887562 200831343 267775124 401662686 803325372 1138044277 2276088554 3414132831 4552177108 6828265662 13656531324