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13005162626550 = 2352317693636943
BaseRepresentation
bin1011110101000000000000…
…0110010011110111110110
31201001021121010220010112020
42331100000012103313312
53201034033113022200
643354253401334010
72511410024244633
oct275200006236766
951037533803466
1013005162626550
114164505293506
1215605a2797306
137344c6417123
1432d64b93b18a
15178462a13ea0
hexbd400193df6

13005162626550 has 96 divisors (see below), whose sum is σ = 33336519659520. Its totient is φ = 3351805747200.

The previous prime is 13005162626537. The next prime is 13005162626609. The reversal of 13005162626550 is 5562626150031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1757379 + ... + 5394321.

It is an arithmetic number, because the mean of its divisors is an integer number (347255413120).

Almost surely, 213005162626550 is an apocalyptic number.

13005162626550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13005162626550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668259829760).

13005162626550 is an abundant number, since it is smaller than the sum of its proper divisors (20331357032970).

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

13005162626550 is a wasteful number, since it uses less digits than its factorization.

13005162626550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637758 (or 3637753 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

Adding to 13005162626550 its reverse (5562626150031), we get a palindrome (18567788776581).

The spelling of 13005162626550 in words is "thirteen trillion, five billion, one hundred sixty-two million, six hundred twenty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 769 775 930 1538 1550 2307 2325 3845 4614 4650 7690 11535 19225 23070 23839 38450 47678 57675 71517 115350 119195 143034 238390 357585 595975 715170 1191950 1787925 3575850 3636943 7273886 10910829 18184715 21821658 36369430 54554145 90923575 109108290 112745233 181847150 225490466 272770725 338235699 545541450 563726165 676471398 1127452330 1691178495 2796809167 2818630825 3382356990 5593618334 5637261650 8390427501 8455892475 13984045835 16780855002 16911784950 27968091670 41952137505 69920229175 83904275010 86701084177 139840458350 173402168354 209760687525 260103252531 419521375050 433505420885 520206505062 867010841770 1300516262655 2167527104425 2601032525310 4335054208850 6502581313275 13005162626550