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239796560153956 = 2213260129912
BaseRepresentation
bin110110100001011111111100…
…110010010100110101100100
31011110001022211120121002201011
4312201133330302110311210
5222412311323344411311
62210001004031512004
7101336505206252551
oct6641377462246544
91143038746532634
10239796560153956
116a4521717a5a53
1222a8a21a988604
13a3a594599cc00
14433030323ba28
151cac9d385d321
hexda17fcc94d64

239796560153956 has 81 divisors (see below), whose sum is σ = 455624492352939. Its totient is φ = 110379688848000.

The previous prime is 239796560153951. The next prime is 239796560153957. The reversal of 239796560153956 is 659351065697932.

The square root of 239796560153956 is 15485366.

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 61380062500 + 239735180091456 = 247750^2 + 15483384^2 .

It is not an unprimeable number, because it can be changed into a prime (239796560153951) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 241974328621 + ... + 241974329611.

Almost surely, 2239796560153956 is an apocalyptic number.

239796560153956 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

239796560153956 is the 15485366-th square number.

It is an amenable number.

239796560153956 is a deficient number, since it is larger than the sum of its proper divisors (215827932198983).

239796560153956 is an frugal number, since it uses more digits than its factorization.

239796560153956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 2480058000, while the sum is 76.

The spelling of 239796560153956 in words is "two hundred thirty-nine trillion, seven hundred ninety-six billion, five hundred sixty million, one hundred fifty-three thousand, nine hundred fifty-six".

Divisors: 1 2 4 13 26 52 169 338 601 676 991 1202 1982 2404 3964 7813 12883 15626 25766 31252 51532 101569 167479 203138 334958 361201 406276 595591 669916 722402 982081 1191182 1444804 1964162 2382364 3928324 4695613 7742683 9391226 12767053 15485366 18782452 25534106 30970732 51068212 61042969 100654879 122085938 165971689 201309758 244171876 331943378 357950191 402619516 590230681 663886756 715900382 1180461362 1431800764 2360922724 4653352483 7672998853 9306704966 15345997706 18613409932 30691995412 60493582279 99748985089 120987164558 199497970178 241974329116 354728639281 398995940356 709457278562 1418914557124 4611472310653 9222944621306 18445889242612 59949140038489 119898280076978 239796560153956