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982226000034 = 23417569626809
BaseRepresentation
bin11100100101100010011…
…10110101100010100010
310110220022000111200020000
432102301032311202202
5112043044324000114
62031121200000430
7130651322150106
oct16226116654242
93426260450200
10982226000034
11349617a74724
1213a441600116
1371814b269b6
143577ba49906
151a83b150e09
hexe4b13b58a2

982226000034 has 80 divisors (see below), whose sum is σ = 2334478627800. Its totient is φ = 307607279616.

The previous prime is 982225999969. The next prime is 982226000047. The reversal of 982226000034 is 430000622289.

It can be written as a sum of positive squares in 4 ways, for example, as 523375561809 + 458850438225 = 723447^2 + 677385^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1253622 + ... + 1880430.

Almost surely, 2982226000034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982226000034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167239313900).

982226000034 is an abundant number, since it is smaller than the sum of its proper divisors (1352252627766).

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

982226000034 is a wasteful number, since it uses less digits than its factorization.

982226000034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627409 (or 627400 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 982226000034 in words is "nine hundred eighty-two billion, two hundred twenty-six million, thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 569 918 1138 1377 1707 2754 3414 5121 9673 10242 15363 19346 29019 30726 46089 58038 87057 92178 174114 261171 522342 626809 783513 1253618 1567026 1880427 3760854 5641281 10655753 11282562 16923843 21311506 31967259 33847686 50771529 63934518 95901777 101543058 191803554 287705331 356654321 575410662 713308642 863115993 1069962963 1726231986 2139925926 3209888889 6063123457 6419777778 9629666667 12126246914 18189370371 19259333334 28889000001 36378740742 54568111113 57778000002 109136222226 163704333339 327408666678 491113000017 982226000034