Search a number
-
+
9881857440 = 25365731319
BaseRepresentation
bin10010011010000000…
…10010110110100000
3221111200110101000000
421031000102312200
5130214223414230
64312322300000
7466611255000
oct111500226640
927450411000
109881857440
114211061834
121ab94b7600
13c16393b30
1469a5ac000
153cc822b60
hex24d012da0

9881857440 has 1344 divisors, whose sum is σ = 46273248000. Its totient is φ = 1975228416.

The previous prime is 9881857429. The next prime is 9881857441. The reversal of 9881857440 is 447581889.

It is a super-2 number, since 2×98818574402 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9881857441) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 520097751 + ... + 520097769.

It is an arithmetic number, because the mean of its divisors is an integer number (34429500).

Almost surely, 29881857440 is an apocalyptic number.

9881857440 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 9881857440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23136624000).

9881857440 is an abundant number, since it is smaller than the sum of its proper divisors (36391390560).

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

9881857440 is a wasteful number, since it uses less digits than its factorization.

9881857440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 9881857440 is about 99407.5321089906. The cubic root of 9881857440 is about 2145.9167092506.

The spelling of 9881857440 in words is "nine billion, eight hundred eighty-one million, eight hundred fifty-seven thousand, four hundred forty".