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106035472274652 = 22336176692098741
BaseRepresentation
bin11000000111000001001110…
…101010001001010011011100
3111220102220002101012100011000
4120013001032222021103130
5102344241121400242102
61013304005023430300
731222544565050664
oct3007011652112334
9456386071170130
10106035472274652
113087143383a598
12ba86475155390
1347221434c4c6b
141c28203b271a4
15c3d35c9c601c
hex60704ea894dc

106035472274652 has 96 divisors (see below), whose sum is σ = 279450015790400. Its totient is φ = 34761178771200.

The previous prime is 106035472274603. The next prime is 106035472274659. The reversal of 106035472274652 is 256472274530601.

106035472274652 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 3 + 547 + 2 + 2 + 7 + 46 + 52 = 666.

It is a super-2 number, since 2×1060354722746522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106035472274659) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49474002 + ... + 51572742.

Almost surely, 2106035472274652 is an apocalyptic number.

106035472274652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106035472274652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139725007895200).

106035472274652 is an abundant number, since it is smaller than the sum of its proper divisors (173414543515748).

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

106035472274652 is a wasteful number, since it uses less digits than its factorization.

106035472274652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106484 (or 2106476 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 106035472274652 in words is "one hundred six trillion, thirty-five billion, four hundred seventy-two million, two hundred seventy-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2196 3294 6588 7669 15338 23007 30676 46014 69021 92028 138042 207063 276084 414126 467809 828252 935618 1403427 1871236 2098741 2806854 4197482 4210281 5613708 6296223 8394964 8420562 12592446 12630843 16841124 18888669 25184892 25261686 37777338 50523372 56666007 75554676 113332014 128023201 226664028 256046402 384069603 512092804 768139206 1152208809 1536278412 2304417618 3456626427 4608835236 6913252854 13826505708 16095244729 32190489458 48285734187 64380978916 96571468374 144857202561 193142936748 289714405122 434571607683 579428810244 869143215366 981809928469 1738286430732 1963619856938 2945429785407 3927239713876 5890859570814 8836289356221 11781719141628 17672578712442 26508868068663 35345157424884 53017736137326 106035472274652