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3325691952 = 243311739587
BaseRepresentation
bin1100011000111010…
…0000100000110000
322120202212122201000
43012032200200300
523302334120302
61310001042000
7145261625622
oct30616404060
98522778630
103325691952
1114572a2650
12789926300
1341000947b
14237986c12
15146e7a31c
hexc63a0830

3325691952 has 160 divisors (see below), whose sum is σ = 10557538560. Its totient is φ = 993876480.

The previous prime is 3325691951. The next prime is 3325691981. The reversal of 3325691952 is 2591965233.

3325691952 is a `hidden beast` number, since 3 + 32 + 569 + 1 + 9 + 52 = 666.

It is a super-2 number, since 2×33256919522 = 22120453919195140608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3325691898 and 3325691907.

It is not an unprimeable number, because it can be changed into a prime (3325691951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342103 + ... + 351689.

It is an arithmetic number, because the mean of its divisors is an integer number (65984616).

Almost surely, 23325691952 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 3325691952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278769280).

3325691952 is an abundant number, since it is smaller than the sum of its proper divisors (7231846608).

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

3325691952 is a wasteful number, since it uses less digits than its factorization.

3325691952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9688 (or 9676 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 3325691952 is about 57668.8126460048. The cubic root of 3325691952 is about 1492.6592380793.

The spelling of 3325691952 in words is "three billion, three hundred twenty-five million, six hundred ninety-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 73 88 99 108 132 144 146 176 198 216 219 264 292 297 396 432 438 528 584 594 657 792 803 876 1168 1188 1314 1584 1606 1752 1971 2376 2409 2628 3212 3504 3942 4752 4818 5256 6424 7227 7884 9587 9636 10512 12848 14454 15768 19174 19272 21681 28761 28908 31536 38348 38544 43362 57522 57816 76696 86283 86724 105457 115044 115632 153392 172566 173448 210914 230088 258849 316371 345132 346896 421828 460176 517698 632742 690264 699851 843656 949113 1035396 1265484 1380528 1399702 1687312 1898226 2070792 2099553 2530968 2799404 2847339 3796452 4141584 4199106 5061936 5598808 5694678 6298659 7592904 7698361 8398212 11197616 11389356 12597318 15185808 15396722 16796424 18895977 22778712 23095083 25194636 30793444 33592848 37791954 45557424 46190166 50389272 61586888 69285249 75583908 92380332 100778544 123173776 138570498 151167816 184760664 207855747 277140996 302335632 369521328 415711494 554281992 831422988 1108563984 1662845976 3325691952