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115943655025 = 521124121512
BaseRepresentation
bin110101111111011000…
…1111100011001110001
3102002021022102221021101
41223332301330121301
53344423033430100
6125132550524401
711243122543522
oct1537661743161
9362238387241
10115943655025
1145198197100
121a579366701
13ac199c8543
14587c726849
153038d0086a
hex1afec7c671

115943655025 has 81 divisors (see below), whose sum is σ = 163056482337. Its totient is φ = 81721200000.

The previous prime is 115943655007. The next prime is 115943655029. The reversal of 115943655025 is 520556349511.

The square root of 115943655025 is 340505.

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 48802553569 + 67141101456 = 220913^2 + 259116^2 .

It is not a de Polignac number, because 115943655025 - 217 = 115943523953 is a prime.

It is a super-2 number, since 2×1159436550252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115943655029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 767838700 + ... + 767838850.

Almost surely, 2115943655025 is an apocalyptic number.

115943655025 is the 340505-th square number.

115943655025 is the 170253-rd centered octagonal number.

It is an amenable number.

115943655025 is a deficient number, since it is larger than the sum of its proper divisors (47112827312).

115943655025 is an equidigital number, since it uses as much as digits as its factorization.

115943655025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 46.

It can be divided in two parts, 1159436 and 55025, that added together give a triangular number (1214461 = T1558).

The spelling of 115943655025 in words is "one hundred fifteen billion, nine hundred forty-three million, six hundred fifty-five thousand, twenty-five".

Divisors: 1 5 11 25 41 55 121 151 205 275 451 605 755 1025 1661 1681 2255 3025 3775 4961 6191 8305 8405 11275 18271 18491 22801 24805 30955 41525 42025 68101 91355 92455 114005 124025 154775 203401 250811 253831 340505 456775 462275 570025 749111 934841 1017005 1254055 1269155 1702525 2758921 2792141 3745555 4674205 5085025 6270275 6345775 10283251 13794605 13960705 18727775 23371025 30713551 38328481 51416255 68973025 69803525 113115761 153567755 191642405 257081275 421613291 565578805 767838775 958212025 2108066455 2827894025 4637746201 10540332275 23188731005 115943655025