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52603958341441 = 13217121715045001
BaseRepresentation
bin10111111010111110100000…
…10000000010111101000001
320220020220000022011202020201
423331133100100002331001
523343330401313411231
6303513531433405201
714036340061214233
oct1375372020027501
9226226008152221
1052603958341441
1115841239112a31
125a96bbb269801
1323476bba0b800
14cdc08bd2a253
1561353a252161
hex2fd7d0402f41

52603958341441 has 24 divisors (see below), whose sum is σ = 60361932164184. Its totient is φ = 45663621120000.

The previous prime is 52603958341427. The next prime is 52603958341511. The reversal of 52603958341441 is 14414385930625.

It can be written as a sum of positive squares in 12 ways, for example, as 31273148217600 + 21330810123841 = 5592240^2 + 4618529^2 .

It is not a de Polignac number, because 52603958341441 - 213 = 52603958333249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52603958341241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4026060 + ... + 11018941.

It is an arithmetic number, because the mean of its divisors is an integer number (2515080506841).

Almost surely, 252603958341441 is an apocalyptic number.

It is an amenable number.

52603958341441 is a deficient number, since it is larger than the sum of its proper divisors (7757973822743).

52603958341441 is a wasteful number, since it uses less digits than its factorization.

52603958341441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15046261 (or 15046248 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 55.

The spelling of 52603958341441 in words is "fifty-two trillion, six hundred three billion, nine hundred fifty-eight million, three hundred forty-one thousand, four hundred forty-one".

Divisors: 1 13 17 169 221 1217 2873 15821 20689 205673 268957 3496441 15045001 195585013 255765017 2542605169 3324945221 18309766217 43224287873 238026960821 311266025689 3094350490673 4046458333957 52603958341441