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19486309968 = 24371573547
BaseRepresentation
bin10010001001011110…
…010111111001010000
31212022000221010000000
4102021132113321100
5304401443404333
612541335130000
71256613621216
oct221136277120
955260833000
1019486309968
11829a572104
123939b13900
131ab713b538
14d2bda8cb6
15790aeb713
hex489797e50

19486309968 has 160 divisors (see below), whose sum is σ = 57000181120. Its totient is φ = 6452244864.

The previous prime is 19486309961. The next prime is 19486309979. The reversal of 19486309968 is 86990368491.

It is a happy number.

19486309968 is a `hidden beast` number, since 1 + 9 + 486 + 3 + 0 + 99 + 68 = 666.

It is a super-2 number, since 2×194863099682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19486309961) by changing a digit.

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, 5491971 + ... + 5495517.

It is an arithmetic number, because the mean of its divisors is an integer number (356251132).

Almost surely, 219486309968 is an apocalyptic number.

19486309968 is a gapful number since it is divisible by the number (18) 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 19486309968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28500090560).

19486309968 is an abundant number, since it is smaller than the sum of its proper divisors (37513871152).

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

19486309968 is an equidigital number, since it uses as much as digits as its factorization.

19486309968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 19486309968 in words is "nineteen billion, four hundred eighty-six million, three hundred nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 157 162 216 243 314 324 432 471 486 628 648 729 942 972 1256 1296 1413 1458 1884 1944 2187 2512 2826 2916 3547 3768 3888 4239 4374 5652 5832 7094 7536 8478 8748 10641 11304 11664 12717 14188 16956 17496 21282 22608 25434 28376 31923 33912 34992 38151 42564 50868 56752 63846 67824 76302 85128 95769 101736 114453 127692 152604 170256 191538 203472 228906 255384 287307 305208 343359 383076 457812 510768 556879 574614 610416 686718 766152 861921 915624 1113758 1149228 1373436 1532304 1670637 1723842 1831248 2227516 2298456 2585763 2746872 3341274 3447684 4455032 4596912 5011911 5171526 5493744 6682548 6895368 7757289 8910064 10023822 10343052 13365096 13790736 15035733 15514578 20047644 20686104 26730192 30071466 31029156 40095288 41372208 45107199 60142932 62058312 80190576 90214398 120285864 124116624 135321597 180428796 240571728 270643194 360857592 405964791 541286388 721715184 811929582 1082572776 1217894373 1623859164 2165145552 2435788746 3247718328 4871577492 6495436656 9743154984 19486309968