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32994516368 = 24111794111719
BaseRepresentation
bin11110101110101000…
…000101110110010000
310011011110000002120202
4132232220011312100
51020033044010433
623054002554332
72245430522162
oct365650056620
9104143002522
1032994516368
1112aa15a9550
1264899689a8
13315a8a9688
141850024932
15cd1987ee8
hex7aea05d90

32994516368 has 80 divisors (see below), whose sum is σ = 73925447040. Its totient is φ = 14099097600.

The previous prime is 32994516349. The next prime is 32994516407. The reversal of 32994516368 is 86361549923.

It is a happy number.

It is a super-2 number, since 2×329945163682 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2809613 + ... + 2821331.

It is an arithmetic number, because the mean of its divisors is an integer number (924068088).

Almost surely, 232994516368 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 32994516368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36962723520).

32994516368 is an abundant number, since it is smaller than the sum of its proper divisors (40930930672).

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

32994516368 is a wasteful number, since it uses less digits than its factorization.

32994516368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12696 (or 12690 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 56.

The spelling of 32994516368 in words is "thirty-two billion, nine hundred ninety-four million, five hundred sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 941 1496 1882 2992 3764 7528 10351 11719 15056 15997 20702 23438 31994 41404 46876 63988 82808 93752 127976 128909 165616 175967 187504 199223 255952 257818 351934 398446 515636 703868 796892 1031272 1407736 1593784 2062544 2191453 2815472 3187568 4382906 8765812 11027579 17531624 22055158 35063248 44110316 88220632 121303369 176441264 187468843 242606738 374937686 485213476 749875372 970426952 1499750744 1940853904 2062157273 2999501488 4124314546 8248629092 16497258184 32994516368