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3323225213056 = 27729263486293
BaseRepresentation
bin110000010110111111101…
…010001000100010000000
3102202200211021112101000101
4300112333222020202000
5413421431123304211
611022400225332144
7462044422144030
oct60267752104200
912680737471011
103323225213056
11107140aaa6331
12458091497054
131b14c0292118
14b6bb87cd8c0
155b6a0d9c5c1
hex305bfa88880

3323225213056 has 128 divisors (see below), whose sum is σ = 7856954899200. Its totient is φ = 1369896235008.

The previous prime is 3323225213053. The next prime is 3323225213101. The reversal of 3323225213056 is 6503125223233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33232252130562 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3323225213051) by changing a digit.

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, 6590646 + ... + 7076938.

It is an arithmetic number, because the mean of its divisors is an integer number (61382460150).

Almost surely, 23323225213056 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 3323225213056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928477449600).

3323225213056 is an abundant number, since it is smaller than the sum of its proper divisors (4533729686144).

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

3323225213056 is a wasteful number, since it uses less digits than its factorization.

3323225213056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486606 (or 486594 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 37.

The spelling of 3323225213056 in words is "three trillion, three hundred twenty-three billion, two hundred twenty-five million, two hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 263 406 448 464 526 812 896 928 1052 1624 1841 1856 2104 3248 3682 3712 4208 6496 7364 7627 8416 12992 14728 15254 16832 25984 29456 30508 33664 53389 58912 61016 106778 117824 122032 213556 235648 244064 427112 486293 488128 854224 972586 976256 1708448 1945172 3404051 3416896 3890344 6808102 6833792 7780688 13616204 14102497 15561376 27232408 28204994 31122752 54464816 56409988 62245504 98717479 108929632 112819976 127895059 197434958 217859264 225639952 255790118 394869916 435718528 451279904 511580236 789739832 895265413 902559808 1023160472 1579479664 1790530826 1805119616 2046320944 3158959328 3581061652 3708956711 4092641888 6317918656 7162123304 7417913422 8185283776 12635837312 14324246608 14835826844 16370567552 25962696977 28648493216 29671653688 51925393954 57296986432 59343307376 103850787908 114593972864 118686614752 207701575816 237373229504 415403151632 474746459008 830806303264 1661612606528 3323225213056