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135462470751 = 323111314928837
BaseRepresentation
bin111111000101000110…
…0010100010001011111
3110221122121112111210100
41332022030110101133
54204411343031001
6142121450512143
712533613001026
oct1761214242137
9427577474710
10135462470751
11524a4040273
1222306135653
13ca0a7a844a
1467b0b538bd
1537cc6bd586
hex1f8a31445f

135462470751 has 48 divisors (see below), whose sum is σ = 205141996800. Its totient is φ = 86037396480.

The previous prime is 135462470729. The next prime is 135462470777. The reversal of 135462470751 is 157074264531.

135462470751 is a `hidden beast` number, since 1 + 3 + 54 + 62 + 470 + 75 + 1 = 666.

It is not a de Polignac number, because 135462470751 - 213 = 135462462559 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135462470697 and 135462470706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135462471751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4683105 + ... + 4711941.

It is an arithmetic number, because the mean of its divisors is an integer number (4273791600).

Almost surely, 2135462470751 is an apocalyptic number.

135462470751 is a deficient number, since it is larger than the sum of its proper divisors (69679526049).

135462470751 is a wasteful number, since it uses less digits than its factorization.

135462470751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29136 (or 29133 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 135462470751 in words is "one hundred thirty-five billion, four hundred sixty-two million, four hundred seventy thousand, seven hundred fifty-one".

Divisors: 1 3 9 31 93 113 149 279 339 447 1017 1341 3503 4619 10509 13857 16837 28837 31527 41571 50511 86511 151533 259533 521947 893947 1565841 2681841 3258581 4296713 4697523 8045523 9775743 12890139 29327229 38670417 101016011 133198103 303048033 399594309 485528569 909144099 1198782927 1456585707 4369757121 15051385639 45154156917 135462470751