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9874342816 = 251324214337
BaseRepresentation
bin10010011001000111…
…01000001110100000
3221111011022120212121
421030203220032200
5130210312432231
64311453234024
7466460346322
oct111443501640
927434276777
109874342816
1142078999a8
121ab6a92914
13c14962600
146995b3612
153cbd3b311
hex24c8e83a0

9874342816 has 72 divisors (see below), whose sum is σ = 21105402444. Its totient is φ = 4545515520.

The previous prime is 9874342813. The next prime is 9874342823. The reversal of 9874342816 is 6182434789.

It can be written as a sum of positive squares in 6 ways, for example, as 875923216 + 8998419600 = 29596^2 + 94860^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (9874342813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2274600 + ... + 2278936.

Almost surely, 29874342816 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 9874342816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10552701222).

9874342816 is an abundant number, since it is smaller than the sum of its proper divisors (11231059628).

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

9874342816 is a wasteful number, since it uses less digits than its factorization.

9874342816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 4773 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The square root of 9874342816 is about 99369.7278651803. The cubic root of 9874342816 is about 2145.3726196864.

The spelling of 9874342816 in words is "nine billion, eight hundred seventy-four million, three hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 421 676 842 1352 1684 2704 3368 4337 5408 5473 6736 8674 10946 13472 17348 21892 34696 43784 56381 69392 71149 87568 112762 138784 142298 175136 225524 284596 451048 569192 732953 902096 1138384 1465906 1804192 1825877 2276768 2931812 3651754 5863624 7303508 11727248 14607016 23454496 23736401 29214032 47472802 58428064 94945604 189891208 308573213 379782416 617146426 759564832 1234292852 2468585704 4937171408 9874342816