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132734017050625 = 544608412
BaseRepresentation
bin11110001011100010001011…
…111011111001100000000001
3122101222020200212102202100201
4132023202023323321200001
5114344203231331110000
61150145055435445201
736646500452202004
oct3613421373714001
9571866625382321
10132734017050625
11393251a9290291
1212a788a98b6801
13590a9c195cac3
1424ac509aad53b
151052ab2c4996a
hex78b88bef9801

132734017050625 has 15 divisors (see below), whose sum is σ = 165864787624063. Its totient is φ = 106186983220000.

The previous prime is 132734017050541. The next prime is 132734017050667. The reversal of 132734017050625 is 526050710437231.

The square root of 132734017050625 is 11521025.

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

It can be written as a sum of positive squares in 7 ways, for example, as 121986215399169 + 10747801651456 = 11044737^2 + 3278384^2 .

It is not a de Polignac number, because 132734017050625 - 237 = 132596578097153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 287795205 + ... + 288256045.

Almost surely, 2132734017050625 is an apocalyptic number.

132734017050625 is the 11521025-th square number.

132734017050625 is the 5760513-rd centered octagonal number.

It is an amenable number.

132734017050625 is a deficient number, since it is larger than the sum of its proper divisors (33130770573438).

132734017050625 is an frugal number, since it uses more digits than its factorization.

132734017050625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921702 (or 460846 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

Adding to 132734017050625 its reverse (526050710437231), we get a palindrome (658784727487856).

The spelling of 132734017050625 in words is "one hundred thirty-two trillion, seven hundred thirty-four billion, seventeen million, fifty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 460841 2304205 11521025 57605125 288025625 212374427281 1061872136405 5309360682025 26546803410125 132734017050625