Search a number
-
+
23989963182025 = 5217229219872
BaseRepresentation
bin1010111010001100110010…
…01110111100111111001001
310010221102021210010000200211
411131012121032330333021
511121022421033311100
6123004500440201121
75024134436340031
oct535063116747711
9103842253100624
1023989963182025
11770a0a4887815
1228354ba1691a1
1310503228a0909
145cd1985b28c1
152b9079b0e1ba
hex15d1993bcfc9

23989963182025 has 81 divisors (see below), whose sum is σ = 32744064071199. Its totient is φ = 17431390824960.

The previous prime is 23989963182023. The next prime is 23989963182067. The reversal of 23989963182025 is 52028136998932.

The square root of 23989963182025 is 4897955.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7815988812681 + 16173974369344 = 2795709^2 + 4021688^2 .

It is not a de Polignac number, because 23989963182025 - 21 = 23989963182023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23989963182023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12073458082 + ... + 12073460068.

Almost surely, 223989963182025 is an apocalyptic number.

23989963182025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23989963182025 is the 4897955-th square number.

23989963182025 is the 2448978-th centered octagonal number.

It is an amenable number.

23989963182025 is a deficient number, since it is larger than the sum of its proper divisors (8754100889174).

23989963182025 is an frugal number, since it uses more digits than its factorization.

23989963182025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 67.

The spelling of 23989963182025 in words is "twenty-three trillion, nine hundred eighty-nine billion, nine hundred sixty-three million, one hundred eighty-two thousand, twenty-five".

Divisors: 1 5 17 25 29 85 145 289 425 493 725 841 1445 1987 2465 4205 7225 8381 9935 12325 14297 21025 33779 41905 49675 57623 71485 168895 209525 243049 288115 357425 574243 844475 979591 1215245 1440575 1671067 2871215 3948169 4897955 6076225 8355335 14356075 16653047 19740845 24489775 28408139 41776675 67118873 83265235 98704225 114496901 142040695 335594365 416326175 482938363 572484505 710203475 1141020841 1677971825 1946447317 2414691815 2862422525 3320410129 5705104205 9732236585 12073459075 16602050645 28525521025 33089604389 48661182925 56446972193 83010253225 165448021945 282234860965 827240109725 959598527281 1411174304825 4797992636405 23989963182025