Search a number
-
+
69681668000 = 2553715116481
BaseRepresentation
bin100000011100101011…
…0011101111110100000
320122212020100111110112
41000321112131332200
52120202001334000
652002235550452
75014530256010
oct1007126357640
9218766314415
1069681668000
112760853757a
12116082bb428
1367564cb719
14353062dc40
151c2c6d0235
hex103959dfa0

69681668000 has 192 divisors, whose sum is σ = 196973876736. Its totient is φ = 23731200000.

The previous prime is 69681667963. The next prime is 69681668003. The reversal of 69681668000 is 86618696.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 69681668000.

It is not an unprimeable number, because it can be changed into a prime (69681668003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4219760 + ... + 4236240.

It is an arithmetic number, because the mean of its divisors is an integer number (1025905608).

Almost surely, 269681668000 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 69681668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98486938368).

69681668000 is an abundant number, since it is smaller than the sum of its proper divisors (127292208736).

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

69681668000 is a wasteful number, since it uses less digits than its factorization.

69681668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16664 (or 16646 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The spelling of 69681668000 in words is "sixty-nine billion, six hundred eighty-one million, six hundred sixty-eight thousand".