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20300586984 = 2333107881997
BaseRepresentation
bin10010111010000000…
…100101111111101000
31221101210010200002000
4102322000211333220
5313033422240414
613154224011000
71316032066536
oct227200457750
957353120060
1020300586984
118678174517
123b26760a60
131bb6a4c962
14da81ad156
157dc343b09
hex4ba025fe8

20300586984 has 128 divisors (see below), whose sum is σ = 57039292800. Its totient is φ = 6689295360.

The previous prime is 20300586949. The next prime is 20300586997. The reversal of 20300586984 is 48968500302.

It is a super-2 number, since 2×203005869842 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20361174 + ... + 20362170.

It is an arithmetic number, because the mean of its divisors is an integer number (445619475).

Almost surely, 220300586984 is an apocalyptic number.

20300586984 is a gapful number since it is divisible by the number (24) 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 20300586984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28519646400).

20300586984 is an abundant number, since it is smaller than the sum of its proper divisors (36738705816).

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

20300586984 is a wasteful number, since it uses less digits than its factorization.

20300586984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20300586984 in words is "twenty billion, three hundred million, five hundred eighty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 881 963 997 1284 1762 1926 1994 2568 2643 2889 2991 3524 3852 3988 5286 5778 5982 7048 7704 7929 7976 8973 10572 11556 11964 15858 17946 21144 23112 23787 23928 26919 31716 35892 47574 53838 63432 71784 94267 95148 106679 107676 188534 190296 213358 215352 282801 320037 377068 426716 565602 640074 754136 848403 853432 878357 960111 1131204 1280148 1696806 1756714 1920222 2262408 2545209 2560296 2635071 2880333 3393612 3513428 3840444 5090418 5270142 5760666 6787224 7026856 7680888 7905213 10180836 10540284 11521332 15810426 20361672 21080568 23042664 23715639 31620852 47431278 63241704 93984199 94862556 187968398 189725112 281952597 375936796 563905194 751873592 845857791 1127810388 1691715582 2255620776 2537573373 3383431164 5075146746 6766862328 10150293492 20300586984