Search a number
-
+
10209389632 = 2613471311993
BaseRepresentation
bin10011000001000011…
…01110110001000000
3222100111202201200221
421200201232301000
5131402100432012
64405022352424
7510666244231
oct114041566100
928314681627
1010209389632
114369a305a2
121b8b12b714
13c691b1570
146cbcab088
153eb46e507
hex26086ec40

10209389632 has 112 divisors (see below), whose sum is σ = 22463223552. Its totient is φ = 4574269440.

The previous prime is 10209389621. The next prime is 10209389633. The reversal of 10209389632 is 23698390201.

It is not an unprimeable number, because it can be changed into a prime (10209389633) 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, 5121628 + ... + 5123620.

It is an arithmetic number, because the mean of its divisors is an integer number (200564496).

Almost surely, 210209389632 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 10209389632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11231611776).

10209389632 is an abundant number, since it is smaller than the sum of its proper divisors (12253833920).

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

10209389632 is a wasteful number, since it uses less digits than its factorization.

10209389632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 10209389632 in words is "ten billion, two hundred nine million, three hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 131 188 208 262 376 416 524 611 752 832 1048 1222 1504 1703 1993 2096 2444 3008 3406 3986 4192 4888 6157 6812 7972 8384 9776 12314 13624 15944 19552 24628 25909 27248 31888 39104 49256 51818 54496 63776 80041 93671 98512 103636 108992 127552 160082 187342 197024 207272 261083 320164 374684 394048 414544 522166 640328 749368 829088 1044332 1217723 1280656 1498736 1658176 2088664 2435446 2561312 2997472 3394079 4177328 4870892 5122624 5994944 6788158 8354656 9741784 12270901 13576316 16709312 19483568 24541802 27152632 38967136 49083604 54305264 77934272 98167208 108610528 159521713 196334416 217221056 319043426 392668832 638086852 785337664 1276173704 2552347408 5104694816 10209389632