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19893081516256 = 25133112037128153
BaseRepresentation
bin1001000010111101110000…
…00011101010100011100000
32121102202112001110202220101
410201132320003222203200
510101412012332010011
6110150431103552144
74122141050633554
oct441367003524340
977382461422811
1019893081516256
11637a6769a4783
1222934b48bb654
13b13ba933c940
144cab8a41d864
152476e85852c1
hex1217b80ea8e0

19893081516256 has 96 divisors (see below), whose sum is σ = 43541668654848. Its totient is φ = 8884439838720.

The previous prime is 19893081516241. The next prime is 19893081516331. The reversal of 19893081516256 is 65261518039891.

It is a super-2 number, since 2×198930815162562 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 155165076 + ... + 155293228.

It is an arithmetic number, because the mean of its divisors is an integer number (453559048488).

Almost surely, 219893081516256 is an apocalyptic number.

19893081516256 is a gapful number since it is divisible by the number (16) 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 19893081516256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21770834327424).

19893081516256 is an abundant number, since it is smaller than the sum of its proper divisors (23648587138592).

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

19893081516256 is a wasteful number, since it uses less digits than its factorization.

19893081516256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140244 (or 140236 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 64.

The spelling of 19893081516256 in words is "nineteen trillion, eight hundred ninety-three billion, eighty-one million, five hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 6448 12037 12896 24074 48148 96296 128153 156481 192592 256306 312962 373147 385184 512612 625924 746294 1025224 1251848 1492588 1665989 2050448 2503696 2985176 3331978 3972743 4100896 4850911 5007392 5970352 6663956 7945486 9701822 11940704 13327912 15890972 19403644 26655824 31781944 38807288 51645659 53311648 63563888 77614576 103291318 127127776 155229152 206582636 413165272 826330544 1542577661 1652661088 3085155322 6170310644 12340621288 20053509593 24681242576 40107019186 47819907491 49362485152 80214038372 95639814982 160428076744 191279629964 320856153488 382559259928 621658797383 641712306976 765118519856 1243317594766 1530237039712 2486635189532 4973270379064 9946540758128 19893081516256