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3329763680 = 255197115427
BaseRepresentation
bin1100011001111000…
…0010100101100000
322121001112112001202
43012132002211200
523304404414210
61310224220332
7145341344555
oct30636024540
98531475052
103329763680
111459623811
1278b16a6a8
13410b03889
14238326a2c
151474d19a5
hexc6782960

3329763680 has 96 divisors (see below), whose sum is σ = 8397768960. Its totient is φ = 1243952640.

The previous prime is 3329763617. The next prime is 3329763683. The reversal of 3329763680 is 863679233.

It is a super-2 number, since 2×33297636802 = 22174652329294284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3329763683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208127 + ... + 223553.

It is an arithmetic number, because the mean of its divisors is an integer number (87476760).

Almost surely, 23329763680 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 3329763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198884480).

3329763680 is an abundant number, since it is smaller than the sum of its proper divisors (5068005280).

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

3329763680 is a wasteful number, since it uses less digits than its factorization.

3329763680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15532 (or 15524 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 47.

The square root of 3329763680 is about 57704.1045333865. The cubic root of 3329763680 is about 1493.2681563461.

The spelling of 3329763680 in words is "three billion, three hundred twenty-nine million, seven hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 71 76 80 95 142 152 160 190 284 304 355 380 568 608 710 760 1136 1349 1420 1520 2272 2698 2840 3040 5396 5680 6745 10792 11360 13490 15427 21584 26980 30854 43168 53960 61708 77135 107920 123416 154270 215840 246832 293113 308540 493664 586226 617080 1095317 1172452 1234160 1465565 2190634 2344904 2468320 2931130 4381268 4689808 5476585 5862260 8762536 9379616 10953170 11724520 17525072 20811023 21906340 23449040 35050144 41622046 43812680 46898080 83244092 87625360 104055115 166488184 175250720 208110230 332976368 416220460 665952736 832440920 1664881840 3329763680