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2642041050 = 2352112236329
BaseRepresentation
bin1001110101111010…
…0101100011011010
320211010110120222020
42131132211203122
520402330303200
61114100035310
7122320656405
oct23536454332
96733416866
102642041050
1111363aa600
12618992b36
133314a27cc
141b0c66d3c
15106e36ea0
hex9d7a58da

2642041050 has 144 divisors (see below), whose sum is σ = 7516393920. Its totient is φ = 612550400.

The previous prime is 2642041037. The next prime is 2642041069. The reversal of 2642041050 is 501402462.

It is a self number, because there is not a number n which added to its sum of digits gives 2642041050.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 414286 + ... + 420614.

It is an arithmetic number, because the mean of its divisors is an integer number (52197180).

Almost surely, 22642041050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642041050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758196960).

2642041050 is an abundant number, since it is smaller than the sum of its proper divisors (4874352870).

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

2642041050 is a wasteful number, since it uses less digits than its factorization.

2642041050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2642041050 is about 51400.7884180778. The cubic root of 2642041050 is about 1382.4407289831.

The spelling of 2642041050 in words is "two billion, six hundred forty-two million, forty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 23 25 30 33 46 50 55 66 69 75 110 115 121 138 150 165 230 242 253 275 330 345 363 506 550 575 605 690 726 759 825 1150 1210 1265 1518 1650 1725 1815 2530 2783 3025 3450 3630 3795 5566 6050 6325 6329 7590 8349 9075 12650 12658 13915 16698 18150 18975 18987 27830 31645 37950 37974 41745 63290 69575 69619 83490 94935 139150 139238 145567 158225 189870 208725 208857 291134 316450 348095 417450 417714 436701 474675 696190 727835 765809 873402 949350 1044285 1455670 1531618 1601237 1740475 2088570 2183505 2297427 3202474 3480950 3639175 3829045 4367010 4594854 4803711 5221425 7278350 7658090 8006185 9607422 10442850 10917525 11487135 16012370 17613607 19145225 21835050 22974270 24018555 35227214 38290450 40030925 48037110 52840821 57435675 80061850 88068035 105681642 114871350 120092775 176136070 240185550 264204105 440340175 528408210 880680350 1321020525 2642041050