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3106702357056 = 26322714
BaseRepresentation
bin101101001101010101111…
…000111111001001000000
3101222222221102120122010100
4231031111320333021000
5401400011300411211
610335111021202400
7440310660220134
oct55152570771100
911888842518110
103106702357056
11a985aa541941
12422124400400
13196c64a9159c
14aa5181553c4
1555c2c0a2156
hex2d355e3f240

3106702357056 has 105 divisors (see below), whose sum is σ = 8937782119955. Its totient is φ = 1031746170240.

The previous prime is 3106702357051. The next prime is 3106702357079. The reversal of 3106702357056 is 6507532076013.

The square root of 3106702357056 is 1762584.

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

3106702357056 is a `hidden beast` number, since 3 + 1 + 0 + 6 + 7 + 0 + 23 + 570 + 56 = 666.

3106702357056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31067023570562 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3106702357051) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11463846201 + ... + 11463846471.

Almost surely, 23106702357056 is an apocalyptic number.

3106702357056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3106702357056 is the 1762584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3106702357056

3106702357056 is an abundant number, since it is smaller than the sum of its proper divisors (5831079762899).

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

3106702357056 is an frugal number, since it uses more digits than its factorization.

3106702357056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 3106702357056 in words is "three trillion, one hundred six billion, seven hundred two million, three hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 271 288 542 576 813 1084 1626 2168 2439 3252 4336 4878 6504 8672 9756 13008 17344 19512 26016 39024 52032 73441 78048 146882 156096 220323 293764 440646 587528 660969 881292 1175056 1321938 1762584 2350112 2643876 3525168 4700224 5287752 7050336 10575504 14100672 19902511 21151008 39805022 42302016 59707533 79610044 119415066 159220088 179122599 238830132 318440176 358245198 477660264 636880352 716490396 955320528 1273760704 1432980792 1910641056 2865961584 3821282112 5393580481 5731923168 10787160962 11463846336 16180741443 21574321924 32361482886 43148643848 48542224329 64722965772 86297287696 97084448658 129445931544 172594575392 194168897316 258891863088 345189150784 388337794632 517783726176 776675589264 1035567452352 1553351178528 3106702357056