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896360752261 = 13241810135317
BaseRepresentation
bin11010000101100110100…
…00111010010010000101
310011200122220220010212001
431002303100322102011
5104141221323033021
61523441001425301
7121521440452552
oct15026320722205
93150586803761
10896360752261
11316165305137
1212587949b231
13666ac816990
1431553d3ba29
15184b2cb6091
hexd0b343a485

896360752261 has 16 divisors (see below), whose sum is σ = 969464125168. Its totient is φ = 823851648000.

The previous prime is 896360752247. The next prime is 896360752271. The reversal of 896360752261 is 162257063698.

It is the 386515-th star number.

It can be written as a sum of positive squares in 8 ways, for example, as 90664221025 + 805696531236 = 301105^2 + 897606^2 .

It is a 5-Lehmer number, since φ(896360752261) divides (896360752261-1)5.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-896360752261 is a prime.

It is a super-2 number, since 2×8963607522612 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896360752271) 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, 25362775 + ... + 25398091.

It is an arithmetic number, because the mean of its divisors is an integer number (60591507823).

Almost surely, 2896360752261 is an apocalyptic number.

It is an amenable number.

896360752261 is a deficient number, since it is larger than the sum of its proper divisors (73103372907).

896360752261 is a wasteful number, since it uses less digits than its factorization.

896360752261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43672.

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 896360752261 in words is "eight hundred ninety-six billion, three hundred sixty million, seven hundred fifty-two thousand, two hundred sixty-one".

Divisors: 1 13 241 3133 8101 35317 105313 459121 1952341 8511397 25380433 110648161 286103017 3719339221 68950827097 896360752261