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23821004332448 = 253720119091497
BaseRepresentation
bin1010110101010010000101…
…00000000101110110100000
310010100021011202020011110022
411122221002200011312200
511110240404102114243
6122355115053453012
75006003456661611
oct532510240056640
9103307152204408
1023821004332448
117654481a2a344
1228088061a1168
13103a40756108b
145c4d2ad19c08
152b498b8c2b68
hex15aa42805da0

23821004332448 has 24 divisors (see below), whose sum is σ = 48165105046212. Its totient is φ = 11588596701696.

The previous prime is 23821004332423. The next prime is 23821004332453. The reversal of 23821004332448 is 84423340012832.

It can be written as a sum of positive squares in 2 ways, for example, as 18706766817424 + 5114237515024 = 4325132^2 + 2261468^2 .

It is a super-2 number, since 2×238210043324482 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23821004332399 and 23821004332408.

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 3 ways as a sum of consecutive naturals, for example, 10059544565 + ... + 10059546932.

Almost surely, 223821004332448 is an apocalyptic number.

It is an amenable number.

23821004332448 is an abundant number, since it is smaller than the sum of its proper divisors (24344100713764).

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

23821004332448 is a wasteful number, since it uses less digits than its factorization.

23821004332448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20119091544 (or 20119091536 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 44.

The spelling of 23821004332448 in words is "twenty-three trillion, eight hundred twenty-one billion, four million, three hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 20119091497 40238182994 80476365988 160952731976 321905463952 643810927904 744406385389 1488812770778 2977625541556 5955251083112 11910502166224 23821004332448