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5461134435 = 325972694651
BaseRepresentation
bin1010001011000001…
…00100110001100011
3112002121002101002100
411011200210301203
542141022300220
62301523021443
7252221606511
oct50540446143
915077071070
105461134435
112352739149
121084b0a883
136905565c3
1439b41b4b1
1521e693d90
hex145824c63

5461134435 has 48 divisors (see below), whose sum is σ = 9601169760. Its totient is φ = 2871244800.

The previous prime is 5461134433. The next prime is 5461134439. The reversal of 5461134435 is 5344311645.

5461134435 is a `hidden beast` number, since 5 + 4 + 611 + 3 + 4 + 4 + 35 = 666.

It is not a de Polignac number, because 5461134435 - 21 = 5461134433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5461134435.

It is not an unprimeable number, because it can be changed into a prime (5461134433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1171860 + ... + 1176510.

It is an arithmetic number, because the mean of its divisors is an integer number (200024370).

Almost surely, 25461134435 is an apocalyptic number.

5461134435 is a deficient number, since it is larger than the sum of its proper divisors (4140035325).

5461134435 is a wasteful number, since it uses less digits than its factorization.

5461134435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028 (or 5025 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5461134435 is about 73899.4887330082. The cubic root of 5461134435 is about 1761.0064873076.

It can be divided in two parts, 5461134 and 435, that added together give a square (5461569 = 23372).

The spelling of 5461134435 in words is "five billion, four hundred sixty-one million, one hundred thirty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 45 97 269 291 485 807 873 1345 1455 2421 4035 4365 4651 12105 13953 23255 26093 41859 69765 78279 130465 209295 234837 391395 451147 1174185 1251119 1353441 2255735 3753357 4060323 6255595 6767205 11260071 18766785 20301615 56300355 121358543 364075629 606792715 1092226887 1820378145 5461134435