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2626131098388 = 22372291229125311
BaseRepresentation
bin100110001101110001100…
…111000111101100010100
3100022001111120222020120010
4212031301213013230110
5321011304030122023
65330232235240220
7360505656012300
oct46156147075424
910261446866503
102626131098388
119228105a6366
12364b65ba9070
13160848b76975
14911693d2d00
15484a1e98093
hex263719c7b14

2626131098388 has 144 divisors (see below), whose sum is σ = 7379924428800. Its totient is φ = 723854718720.

The previous prime is 2626131098387. The next prime is 2626131098407. The reversal of 2626131098388 is 8838901316262.

2626131098388 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-3 number, since 3×26261310983883 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2626131098387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20894253 + ... + 21019563.

It is an arithmetic number, because the mean of its divisors is an integer number (51249475200).

Almost surely, 22626131098388 is an apocalyptic number.

2626131098388 is a gapful number since it is divisible by the number (28) 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 2626131098388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689962214400).

2626131098388 is an abundant number, since it is smaller than the sum of its proper divisors (4753793330412).

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

2626131098388 is a wasteful number, since it uses less digits than its factorization.

2626131098388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126590 (or 126581 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 2626131098388 in words is "two trillion, six hundred twenty-six billion, one hundred thirty-one million, ninety-eight thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1229 1421 2436 2458 2842 3687 4263 4916 5684 7374 8526 8603 14748 17052 17206 25809 34412 35641 51618 60221 71282 103236 106923 120442 125311 142564 180663 213846 240884 249487 250622 361326 375933 427692 498974 501244 722652 748461 751866 877177 997948 1496922 1503732 1746409 1754354 2631531 2993844 3492818 3508708 3634019 5239227 5263062 6140239 6985636 7268038 10478454 10526124 10902057 12280478 14536076 18420717 20956908 21804114 24560956 25438133 36841434 43608228 50876266 73682868 76314399 101752532 152628798 154007219 178066931 305257596 308014438 356133862 462021657 534200793 616028876 712267724 924043314 1068401586 1078050533 1848086628 2136803172 2156101066 3234151599 4312202132 4466209351 6468303198 7546353731 8932418702 12936606396 13398628053 15092707462 17864837404 22639061193 26797256106 30185414924 31263465457 45278122386 53594512212 62526930914 90556244772 93790396371 125053861828 187580792742 218844258199 375161585484 437688516398 656532774597 875377032796 1313065549194 2626131098388