Search a number
-
+
9690942643200 = 2103552713171953
BaseRepresentation
bin1000110100000101100100…
…1100011001110000000000
31021022110000110021211100000
42031001121030121300000
52232234022304040300
632335542501200000
72020101410222610
oct215013114316000
937273013254300
109690942643200
1130a69a6530585
121106205100000
13553b0ca167c0
14257089124a40
1511c13c527c00
hex8d059319c00

9690942643200 has 6336 divisors, whose sum is σ = 50291571133440. Its totient is φ = 1788723855360.

The previous prime is 9690942643133. The next prime is 9690942643229. The reversal of 9690942643200 is 23462490969.

9690942643200 is a `hidden beast` number, since 9 + 6 + 9 + 0 + 9 + 426 + 4 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 182847974374 + ... + 182847974426.

Almost surely, 29690942643200 is an apocalyptic number.

9690942643200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9690942643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25145785566720).

9690942643200 is an abundant number, since it is smaller than the sum of its proper divisors (40600628490240).

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

9690942643200 is a wasteful number, since it uses less digits than its factorization.

9690942643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 9690942643200 in words is "nine trillion, six hundred ninety billion, nine hundred forty-two million, six hundred forty-three thousand, two hundred".