Search a number
-
+
9893057664 = 273724491171
BaseRepresentation
bin10010011011010110…
…00001010010000000
3221112110112101211010
421031223001102000
5130230110321124
64313402320520
7500105413500
oct111553012200
927473471733
109893057664
114217411716
121b011b9140
13c187b5a99
1469bc85a00
153cd7d6529
hex24dac1480

9893057664 has 192 divisors, whose sum is σ = 30663036000. Its totient is φ = 2817884160.

The previous prime is 9893057641. The next prime is 9893057677. The reversal of 9893057664 is 4667503989.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8447799 + ... + 8448969.

Almost surely, 29893057664 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 9893057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331518000).

9893057664 is an abundant number, since it is smaller than the sum of its proper divisors (20769978336).

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

9893057664 is a wasteful number, since it uses less digits than its factorization.

9893057664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The square root of 9893057664 is about 99463.8510414713. The cubic root of 9893057664 is about 2146.7271396533.

The spelling of 9893057664 in words is "nine billion, eight hundred ninety-three million, fifty-seven thousand, six hundred sixty-four".