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3327106533630 = 23511231303336419
BaseRepresentation
bin110000011010100111000…
…000001100100011111110
3102210001211202220212220020
4300122213000030203332
5414002403233034010
611024241315433010
7462242541626325
oct60324700144376
912701752825806
103327106533630
11107302199a990
124589952b5766
131b198b42ca09
14b706608d0bc
155b82b9cd470
hex306a700c8fe

3327106533630 has 128 divisors (see below), whose sum is σ = 9096710676480. Its totient is φ = 770908575360.

The previous prime is 3327106533601. The next prime is 3327106533637. The reversal of 3327106533630 is 363356017233.

It is a super-2 number, since 2×33271065336302 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3327106533637) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9721561 + ... + 10057979.

It is an arithmetic number, because the mean of its divisors is an integer number (71068052160).

Almost surely, 23327106533630 is an apocalyptic number.

3327106533630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3327106533630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548355338240).

3327106533630 is an abundant number, since it is smaller than the sum of its proper divisors (5769604142850).

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

3327106533630 is a wasteful number, since it uses less digits than its factorization.

3327106533630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337766.

The product of its (nonzero) digits is 612360, while the sum is 42.

The spelling of 3327106533630 in words is "three trillion, three hundred twenty-seven billion, one hundred six million, five hundred thirty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1303 1518 2530 2606 3795 3909 6515 7590 7818 13030 14333 19545 28666 29969 39090 42999 59938 71665 85998 89907 143330 149845 179814 214995 299690 329659 336419 429990 449535 659318 672838 899070 988977 1009257 1648295 1682095 1977954 2018514 3296590 3364190 3700609 4944885 5046285 7401218 7737637 9889770 10092570 11101827 15475274 18503045 22203654 23212911 37006090 38688185 46425822 55509135 77376370 85114007 111018270 116064555 170228014 232129110 255342021 425570035 438353957 510684042 851140070 876707914 1276710105 1315061871 2191769785 2553420210 2630123742 4383539570 4821893527 6575309355 9643787054 10082141011 13150618710 14465680581 20164282022 24109467635 28931361162 30246423033 48218935270 50410705055 60492846066 72328402905 100821410110 110903551121 144656805810 151232115165 221807102242 302464230330 332710653363 554517755605 665421306726 1109035511210 1663553266815 3327106533630