Search a number
-
+
23245271296 = 281327332
BaseRepresentation
bin10101101001100001…
…101011000100000000
32020000000002010112221
4111221201223010000
5340101242140141
614402334500424
71452016355152
oct255141530400
966000063487
1023245271296
119949393415
124608964714
132265b37400
1411a72d6ad2
15910b0cbd1
hex56986b100

23245271296 has 81 divisors (see below), whose sum is σ = 50312144799. Its totient is φ = 10713950208.

The previous prime is 23245271279. The next prime is 23245271323. The reversal of 23245271296 is 69217254232.

The square root of 23245271296 is 152464.

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 1388605696 + 21856665600 = 37264^2 + 147840^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 31712146 + ... + 31712878.

Almost surely, 223245271296 is an apocalyptic number.

23245271296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

23245271296 is the 152464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23245271296

23245271296 is an abundant number, since it is smaller than the sum of its proper divisors (27066873503).

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

23245271296 is an frugal number, since it uses more digits than its factorization.

23245271296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 748 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The spelling of 23245271296 in words is "twenty-three billion, two hundred forty-five million, two hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 733 832 1352 1466 1664 2704 2932 3328 5408 5864 9529 10816 11728 19058 21632 23456 38116 43264 46912 76232 93824 123877 152464 187648 247754 304928 495508 537289 609856 991016 1074578 1219712 1982032 2149156 2439424 3964064 4298312 6984757 7928128 8596624 13969514 15856256 17193248 27939028 31712512 34386496 55878056 68772992 90801841 111756112 137545984 181603682 223512224 363207364 447024448 726414728 894048896 1452829456 1788097792 2905658912 5811317824 11622635648 23245271296