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13752072441 = 324140991121
BaseRepresentation
bin11001100111010111…
…11111100011111001
31022111101221122220100
430303223333203321
5211131012304231
610152334350013
7664534454442
oct146353774371
938441848810
1013752072441
115917760628
1227b965b309
1313b2143893
149465ba2c9
155574ad1e6
hex333aff8f9

13752072441 has 24 divisors (see below), whose sum is σ = 20398570920. Its totient is φ = 8922470400.

The previous prime is 13752072437. The next prime is 13752072449. The reversal of 13752072441 is 14427025731.

13752072441 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 207 + 2 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3556929600 + 10195142841 = 59640^2 + 100971^2 .

It is not a de Polignac number, because 13752072441 - 22 = 13752072437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13752072396 and 13752072405.

It is not an unprimeable number, because it can be changed into a prime (13752072449) 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 23 ways as a sum of consecutive naturals, for example, 105361 + ... + 196481.

It is an arithmetic number, because the mean of its divisors is an integer number (849940455).

Almost surely, 213752072441 is an apocalyptic number.

It is an amenable number.

13752072441 is a deficient number, since it is larger than the sum of its proper divisors (6646498479).

13752072441 is a wasteful number, since it uses less digits than its factorization.

13752072441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91577 (or 91574 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 13752072441 in words is "thirteen billion, seven hundred fifty-two million, seventy-two thousand, four hundred forty-one".

Divisors: 1 3 9 41 123 369 409 1227 3681 16769 50307 91121 150921 273363 820089 3735961 11207883 33623649 37268489 111805467 335416401 1528008049 4584024147 13752072441