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3106290383550 = 2325237226982223
BaseRepresentation
bin101101001100111101010…
…101011011101010111110
3101222221212201101012201100
4231030331111123222332
5401343140314233200
610335002103153530
7440264525416164
oct55147525335276
911887781335640
103106290383550
11a98408a39072
1242202a4458a6
13196bca61a093
14aa4b9555234
1555c05d25d00
hex2d33d55babe

3106290383550 has 144 divisors (see below), whose sum is σ = 8575004468160. Its totient is φ = 805591422720.

The previous prime is 3106290383531. The next prime is 3106290383561. The reversal of 3106290383550 is 553830926013.

It is a happy number.

3106290383550 is a `hidden beast` number, since 3 + 1 + 0 + 6 + 2 + 90 + 3 + 8 + 3 + 550 = 666.

It is a super-2 number, since 2×31062903835502 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3106290383496 and 3106290383505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37737739 + ... + 37819961.

It is an arithmetic number, because the mean of its divisors is an integer number (59548642140).

Almost surely, 23106290383550 is an apocalyptic number.

3106290383550 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 3106290383550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287502234080).

3106290383550 is an abundant number, since it is smaller than the sum of its proper divisors (5468714084610).

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

3106290383550 is a wasteful number, since it uses less digits than its factorization.

3106290383550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84547 (or 84539 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 3106290383550 in words is "three trillion, one hundred six billion, two hundred ninety million, three hundred eighty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2269 2775 3330 4538 5550 6807 8325 11345 13614 16650 20421 22690 34035 40842 56725 68070 82223 83953 102105 113450 164446 167906 170175 204210 246669 251859 340350 411115 419765 493338 503718 510525 740007 755577 822230 839530 1021050 1233345 1259295 1480014 1511154 2055575 2098825 2466690 2518590 3042251 3700035 3777885 4111150 4197650 6084502 6166725 6296475 7400070 7555770 9126753 12333450 12592950 15211255 18253506 18500175 18889425 27380259 30422510 37000350 37778850 45633765 54760518 76056275 91267530 136901295 152112550 186563987 228168825 273802590 373127974 456337650 559691961 684506475 932819935 1119383922 1369012950 1679075883 1865639870 2798459805 3358151766 4664099675 5596919610 6902867519 8395379415 9328199350 13805735038 13992299025 16790758830 20708602557 27984598050 34514337595 41417205114 41976897075 62125807671 69028675190 83953794150 103543012785 124251615342 172571687975 207086025570 310629038355 345143375950 517715063925 621258076710 1035430127850 1553145191775 3106290383550