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5042125824 = 21034094013
BaseRepresentation
bin1001011001000100…
…01011110000000000
3111000101122112022220
410230202023300000
540311241011244
62152154131040
7235643235201
oct45442136000
914011575286
105042125824
11215816a83a
12b88720a80
136247bac08
1435b9095a8
151e79c8319
hex12c88bc00

5042125824 has 88 divisors (see below), whose sum is σ = 13475319120. Its totient is φ = 1676181504.

The previous prime is 5042125819. The next prime is 5042125843. The reversal of 5042125824 is 4285212405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1254442 + ... + 1258454.

Almost surely, 25042125824 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 5042125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6737659560).

5042125824 is an abundant number, since it is smaller than the sum of its proper divisors (8433193296).

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

5042125824 is a wasteful number, since it uses less digits than its factorization.

5042125824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 5042125824 is about 71007.9278954118. The cubic root of 5042125824 is about 1714.7647991789.

It can be divided in two parts, 50421 and 25824, that added together give a triangular number (76245 = T390).

The spelling of 5042125824 in words is "five billion, forty-two million, one hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 409 512 768 818 1024 1227 1536 1636 2454 3072 3272 4013 4908 6544 8026 9816 12039 13088 16052 19632 24078 26176 32104 39264 48156 52352 64208 78528 96312 104704 128416 157056 192624 209408 256832 314112 385248 418816 513664 628224 770496 1027328 1256448 1540992 1641317 2054656 3081984 3282634 4109312 4923951 6163968 6565268 9847902 12327936 13130536 19695804 26261072 39391608 52522144 78783216 105044288 157566432 210088576 315132864 420177152 630265728 840354304 1260531456 1680708608 2521062912 5042125824