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1024424199520 = 2553116310311229
BaseRepresentation
bin11101110100001000111…
…00001100010101100000
310121221012212212022112021
432322010130030111200
5113241010043341040
62102340341511224
7134004121010551
oct16720434142540
93557185768467
101024424199520
11365501832557
12146659712514
13757ab42a1c7
1437822146328
151b9aaaeb24a
hexee8470c560

1024424199520 has 192 divisors, whose sum is σ = 2518085283840. Its totient is φ = 393415833600.

The previous prime is 1024424199517. The next prime is 1024424199529. The reversal of 1024424199520 is 259914244201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024424199529) 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, 833542266 + ... + 833543494.

It is an arithmetic number, because the mean of its divisors is an integer number (13115027520).

Almost surely, 21024424199520 is an apocalyptic number.

1024424199520 is a gapful number since it is divisible by the number (10) 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 1024424199520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259042641920).

1024424199520 is an abundant number, since it is smaller than the sum of its proper divisors (1493661084320).

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

1024424199520 is a wasteful number, since it uses less digits than its factorization.

1024424199520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 1024424199520 in words is "one trillion, twenty-four billion, four hundred twenty-four million, one hundred ninety-nine thousand, five hundred twenty".