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260691000696 = 233673194
BaseRepresentation
bin1111001011001001100…
…1001111110101111000
3220220220000002222000000
43302302121033311320
513232343344010241
6315432040513000
724556110642000
oct3626231176570
9826800088000
10260691000696
11a0616301315
1242634a7b760
131b776c874c9
14c890649000
156bab6bceb6
hex3cb264fd78

260691000696 has 560 divisors, whose sum is σ = 902125038000. Its totient is φ = 70562977632.

The previous prime is 260691000641. The next prime is 260691000721. The reversal of 260691000696 is 696000196062.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 260691000696 = 7983 + 63843 = 35913 + 59853.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 13720578975 + ... + 13720578993.

Almost surely, 2260691000696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260691000696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451062519000).

260691000696 is an abundant number, since it is smaller than the sum of its proper divisors (641434037304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

260691000696 is an frugal number, since it uses more digits than its factorization.

260691000696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 260691000696 in words is "two hundred sixty billion, six hundred ninety-one million, six hundred ninety-six", and thus it is an aban number.