Search a number
-
+
91603251848640 = 2635725997340267
BaseRepresentation
bin10100110101000000001011…
…010010010110010111000000
3110000100012000010021210011010
4110311000023102112113000
544001311424433124030
6522453541500520520
725203054655366200
oct2465001322262700
9400305003253133
1091603251848640
11272077a2638664
12a3353a7850140
133c161c3836c5c
14188989a214400
15a8cc266a16b0
hex53500b4965c0

91603251848640 has 672 divisors, whose sum is σ = 347606791338240. Its totient is φ = 20370750898176.

The previous prime is 91603251848621. The next prime is 91603251848663. The reversal of 91603251848640 is 4684815230619.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269039787 + ... + 269380053.

It is an arithmetic number, because the mean of its divisors is an integer number (517272010920).

Almost surely, 291603251848640 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 91603251848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173803395669120).

91603251848640 is an abundant number, since it is smaller than the sum of its proper divisors (256003539489600).

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

91603251848640 is a wasteful number, since it uses less digits than its factorization.

91603251848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340457 (or 340440 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 91603251848640 in words is "ninety-one trillion, six hundred three billion, two hundred fifty-one million, eight hundred forty-eight thousand, six hundred forty".