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13217153506 = 21729101132721
BaseRepresentation
bin11000100111100110…
…11100000111100010
31021010010101222001221
430103303130013202
5204032042403011
610023305245254
7645350644144
oct142363340742
937103358057
1013217153506
115672814067
12268a49382a
1313283838bb
148d5534c94
15525548971
hex313cdc1e2

13217153506 has 32 divisors (see below), whose sum is σ = 21930983280. Its totient is φ = 5945856000.

The previous prime is 13217153503. The next prime is 13217153519. The reversal of 13217153506 is 60535171231.

13217153506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 13212353025 + 4800481 = 114945^2 + 2191^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (13217153503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33226 + ... + 165946.

Almost surely, 213217153506 is an apocalyptic number.

13217153506 is a deficient number, since it is larger than the sum of its proper divisors (8713829774).

13217153506 is a wasteful number, since it uses less digits than its factorization.

13217153506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132870.

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 13217153506 in words is "thirteen billion, two hundred seventeen million, one hundred fifty-three thousand, five hundred six".

Divisors: 1 2 17 29 34 58 101 202 493 986 1717 2929 3434 5858 49793 99586 132721 265442 2256257 3848909 4512514 7697818 13404821 26809642 65431453 130862906 227881957 388739809 455763914 777479618 6608576753 13217153506