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982298006136 = 233231853515941
BaseRepresentation
bin11100100101101011000…
…01100001001001111000
310110220111000222222000200
432102311201201021320
5112043221242144021
62031132251202200
7130653155200326
oct16226541411170
93426430888020
10982298006136
113496546859a7
1213a461746360
1371826a18665
1435787430d16
151a842626126
hexe4b5861278

982298006136 has 96 divisors (see below), whose sum is σ = 2749434280320. Its totient is φ = 316498233600.

The previous prime is 982298006093. The next prime is 982298006153. The reversal of 982298006136 is 631600892289.

It is a super-2 number, since 2×9822980061362 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1645926 + ... + 2161866.

It is an arithmetic number, because the mean of its divisors is an integer number (28639940420).

Almost surely, 2982298006136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982298006136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374717140160).

982298006136 is an abundant number, since it is smaller than the sum of its proper divisors (1767136274184).

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

982298006136 is a wasteful number, since it uses less digits than its factorization.

982298006136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516837 (or 516830 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 982298006136 in words is "nine hundred eighty-two billion, two hundred ninety-eight million, six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 853 1116 1706 2232 2559 3412 5118 6824 7677 10236 15354 20472 26443 30708 52886 61416 79329 105772 158658 211544 237987 317316 475974 515941 634632 951948 1031882 1547823 1903896 2063764 3095646 4127528 4643469 6191292 9286938 12382584 15994171 18573876 31988342 37147752 47982513 63976684 95965026 127953368 143947539 191930052 287895078 383860104 440097673 575790156 880195346 1151580312 1320293019 1760390692 2640586038 3520781384 3960879057 5281172076 7921758114 10562344152 13643027863 15843516228 27286055726 31687032456 40929083589 54572111452 81858167178 109144222904 122787250767 163716334356 245574501534 327432668712 491149003068 982298006136