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32664144656 = 241113120111887
BaseRepresentation
bin11110011010111011…
…110100101100010000
310010022102100110210102
4132122323310230100
51013344010112111
623001121551532
72234306435303
oct363273645420
9103272313712
1032664144656
1112942070380
1263b71a55a8
133107306660
14181c1c6b3a
15cb297a13b
hex79aef4b10

32664144656 has 80 divisors (see below), whose sum is σ = 74419070208. Its totient is φ = 13692672000.

The previous prime is 32664144631. The next prime is 32664144661. The reversal of 32664144656 is 65644146623.

It is a super-2 number, since 2×326641446562 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32664144656.

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 15 ways as a sum of consecutive naturals, for example, 2741945 + ... + 2753831.

Almost surely, 232664144656 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 32664144656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37209535104).

32664144656 is an abundant number, since it is smaller than the sum of its proper divisors (41754925552).

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

32664144656 is a wasteful number, since it uses less digits than its factorization.

32664144656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13120 (or 13114 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 47.

The spelling of 32664144656 in words is "thirty-two billion, six hundred sixty-four million, one hundred forty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 1201 2288 2402 4804 9608 11887 13211 15613 19216 23774 26422 31226 47548 52844 62452 95096 105688 124904 130757 154531 171743 190192 211376 249808 261514 309062 343486 523028 618124 686972 1046056 1236248 1373944 1699841 2092112 2472496 2747888 3399682 6799364 13598728 14276287 27197456 28552574 57105148 114210296 157039157 185591731 228420592 314078314 371183462 628156628 742366924 1256313256 1484733848 2041509041 2512626512 2969467696 4083018082 8166036164 16332072328 32664144656