Search a number
-
+
10829732356 = 226128532
BaseRepresentation
bin10100001011000000…
…01001101000000100
31000221202001101221101
422011200021220010
5134134402413411
64550342425444
7532241130502
oct120540115004
930852041841
1010829732356
114658113233
122122a32284
131037880571
1474a42b672
15435b598c1
hex285809a04

10829732356 has 27 divisors (see below), whose sum is σ = 19290428703. Its totient is φ = 5319853920.

The previous prime is 10829732327. The next prime is 10829732371. The reversal of 10829732356 is 65323792801.

The square root of 10829732356 is 104066.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8996522500 + 1833209856 = 94850^2 + 42816^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12695626 + ... + 12696478.

Almost surely, 210829732356 is an apocalyptic number.

10829732356 is the 104066-th square number.

It is an amenable number.

10829732356 is a deficient number, since it is larger than the sum of its proper divisors (8460696347).

10829732356 is an frugal number, since it uses more digits than its factorization.

10829732356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 10829732356 in words is "ten billion, eight hundred twenty-nine million, seven hundred thirty-two thousand, three hundred fifty-six".

Divisors: 1 2 4 61 122 244 853 1706 3412 3721 7442 14884 52033 104066 208132 727609 1455218 2910436 3174013 6348026 12696052 44384149 88768298 177536596 2707433089 5414866178 10829732356