Search a number
-
+
10049643396 = 22321357137607
BaseRepresentation
bin10010101110000000…
…10110001110000100
3221221101011210001200
421113000112032010
5131040202042041
64341114422500
7504016362612
oct112700261604
927841153050
1010049643396
114297841911
121b45731a30
13c4207c470
146b49a66b2
153dc4171b6
hex257016384

10049643396 has 72 divisors (see below), whose sum is σ = 27406002624. Its totient is φ = 3086700480.

The previous prime is 10049643287. The next prime is 10049643397. The reversal of 10049643396 is 69334694001.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10049643397) 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 23 ways as a sum of consecutive naturals, for example, 248425 + ... + 286031.

Almost surely, 210049643396 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 10049643396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13703001312).

10049643396 is an abundant number, since it is smaller than the sum of its proper divisors (17356359228).

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

10049643396 is a wasteful number, since it uses less digits than its factorization.

10049643396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38201 (or 38196 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 10049643396 in words is "ten billion, forty-nine million, six hundred forty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 571 1142 1713 2284 3426 5139 6852 7423 10278 14846 20556 22269 29692 37607 44538 66807 75214 89076 112821 133614 150428 225642 267228 338463 451284 488891 676926 977782 1353852 1466673 1955564 2933346 4400019 5866692 8800038 17600076 21473597 42947194 64420791 85894388 128841582 193262373 257683164 279156761 386524746 558313522 773049492 837470283 1116627044 1674940566 2512410849 3349881132 5024821698 10049643396