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3387602215936 = 21011325092
BaseRepresentation
bin110001010010111100110…
…100111010010000000000
3102222211222211012221221101
4301102330310322100000
5421000302131402221
611112124252104144
7466513640506051
oct61227464722000
912884884187841
103387602215936
111096746155444
12468659165054
131b75ac78c933
14b9d646d2728
155d1bc9e4d91
hex314bcd3a400

3387602215936 has 99 divisors (see below), whose sum is σ = 6845804316091. Its totient is φ = 1675513462784.

The previous prime is 3387602215897. The next prime is 3387602215973. The reversal of 3387602215936 is 6395122067833.

The square root of 3387602215936 is 1840544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 322805785600 + 3064796430336 = 568160^2 + 1750656^2 .

It is a super-2 number, since 2×33876022159362 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 6655406850 + ... + 6655407358.

Almost surely, 23387602215936 is an apocalyptic number.

3387602215936 is the 1840544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3387602215936

3387602215936 is an abundant number, since it is smaller than the sum of its proper divisors (3458202100155).

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

3387602215936 is an frugal number, since it uses more digits than its factorization.

3387602215936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 3387602215936 in words is "three trillion, three hundred eighty-seven billion, six hundred two million, two hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 509 512 904 1018 1024 1808 2036 3616 4072 7232 8144 12769 14464 16288 25538 28928 32576 51076 57517 57856 65152 102152 115034 115712 130304 204304 230068 259081 260608 408608 460136 518162 521216 817216 920272 1036324 1634432 1840544 2072648 3268864 3681088 4145296 6499421 6537728 7362176 8290592 12998842 13075456 14724352 16581184 25997684 29276153 29448704 33162368 51995368 58552306 58897408 66324736 103990736 117104612 132649472 207981472 234209224 265298944 415962944 468418448 831925888 936836896 1663851776 1873673792 3308205289 3327703552 3747347584 6616410578 6655407104 7494695168 13232821156 14989390336 26465642312 29978780672 52931284624 105862569248 211725138496 423450276992 846900553984 1693801107968 3387602215936