Search a number
-
+
132664461000331 = 13191508335609831
BaseRepresentation
bin11110001010100001011010…
…000100100111111010001011
3122101201121011101110021222211
4132022201122010213322023
5114342033304004002311
61150053113444125551
736641456005422241
oct3612413204477213
9571647141407884
10132664461000331
11392a87557521a7
1212a673176968b7
1359042884a42b0
1424a8dcc01c791
151050d915ce821
hex78a85a127e8b

132664461000331 has 16 divisors (see below), whose sum is σ = 150398837648640. Its totient is φ = 116006570508960.

The previous prime is 132664461000319. The next prime is 132664461000359. The reversal of 132664461000331 is 133000164466231.

It is a cyclic number.

It is not a de Polignac number, because 132664461000331 - 211 = 132664460998283 is a prime.

It is a super-2 number, since 2×1326644610003312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132664561000331) 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 15 ways as a sum of consecutive naturals, for example, 14079415 + ... + 21530416.

It is an arithmetic number, because the mean of its divisors is an integer number (9399927353040).

Almost surely, 2132664461000331 is an apocalyptic number.

132664461000331 is a deficient number, since it is larger than the sum of its proper divisors (17734376648309).

132664461000331 is a wasteful number, since it uses less digits than its factorization.

132664461000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35624946.

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 132664461000331 in words is "one hundred thirty-two trillion, six hundred sixty-four billion, four hundred sixty-one million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 13 19 247 15083 196079 286577 3725501 35609831 462927803 676586789 8795628257 537103080973 6982340052649 10204958538487 132664461000331