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20124525344 = 2571126633067
BaseRepresentation
bin10010101111100000…
…111110001100100000
31220221111211210220112
4102233200332030200
5312203334302334
613124534230452
71311463433360
oct225740761440
956844753815
1020124525344
118597851830
123a977b5428
131b89427581
14d8ca5c9a0
157cbb674ce
hex4af83e320

20124525344 has 96 divisors (see below), whose sum is σ = 49431223296. Its totient is φ = 7835224320.

The previous prime is 20124525341. The next prime is 20124525359. The reversal of 20124525344 is 44352542102.

It is a super-3 number, since 3×201245253443 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 20124525344.

It is not an unprimeable number, because it can be changed into a prime (20124525341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6560099 + ... + 6563165.

It is an arithmetic number, because the mean of its divisors is an integer number (514908576).

Almost surely, 220124525344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20124525344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24715611648).

20124525344 is an abundant number, since it is smaller than the sum of its proper divisors (29306697952).

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

20124525344 is a wasteful number, since it uses less digits than its factorization.

20124525344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5758 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 20124525344 in words is "twenty billion, one hundred twenty-four million, five hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 2663 3067 5326 6134 10652 12268 18641 21304 21469 24536 29293 33737 37282 42608 42938 49072 58586 67474 74564 85216 85876 98144 117172 134948 149128 171752 205051 234344 236159 269896 298256 343504 410102 468688 472318 539792 596512 687008 820204 937376 944636 1079584 1640408 1889272 3280816 3778544 6561632 7557088 8167421 16334842 32669684 57171947 65339368 89841631 114343894 130678736 179683262 228687788 261357472 359366524 457375576 628891417 718733048 914751152 1257782834 1437466096 1829502304 2515565668 2874932192 5031131336 10062262672 20124525344