Search a number
-
+
86433129104653 = 2749276971135201
BaseRepresentation
bin10011101001110001000111…
…111101010000010100001101
3102100000221000101012211112001
4103221301013331100110031
542312110022022322103
6503454455323312301
724130405341225502
oct2351610775202415
9370027011184461
1086433129104653
11255a40a2088621
12983b3a007b691
13392c7bc270a46
14174b5587a34a9
159ed4cd98b01d
hex4e9c47f5050d

86433129104653 has 8 divisors (see below), whose sum is σ = 86467768739000. Its totient is φ = 86398491801600.

The previous prime is 86433129104593. The next prime is 86433129104657. The reversal of 86433129104653 is 35640192133468.

It can be written as a sum of positive squares in 4 ways, for example, as 517970968804 + 85915158135849 = 719702^2 + 9269043^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-86433129104653 is a prime.

It is a super-2 number, since 2×864331291046532 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86433129104594 and 86433129104603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86433129104657) 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 7 ways as a sum of consecutive naturals, for example, 75571453 + ... + 76706653.

It is an arithmetic number, because the mean of its divisors is an integer number (10808471092375).

Almost surely, 286433129104653 is an apocalyptic number.

It is an amenable number.

86433129104653 is a deficient number, since it is larger than the sum of its proper divisors (34639634347).

86433129104653 is a wasteful number, since it uses less digits than its factorization.

86433129104653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165647.

The product of its (nonzero) digits is 11197440, while the sum is 55.

The spelling of 86433129104653 in words is "eighty-six trillion, four hundred thirty-three billion, one hundred twenty-nine million, one hundred four thousand, six hundred fifty-three".

Divisors: 1 2749 27697 1135201 76139053 3120667549 31441662097 86433129104653