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9156381696 = 2103371121723
BaseRepresentation
bin10001000011100001…
…10100110000000000
3212122010100101101000
420201300310300000
5122223013203241
64112325012000
7442621650240
oct104160646000
925563311330
109156381696
1139795a2100
121936554000
13b2bca4b47
1462c0c1b20
15388cbbeb6
hex221c34c00

9156381696 has 1056 divisors, whose sum is σ = 37635978240. Its totient is φ = 2141061120.

The previous prime is 9156381643. The next prime is 9156381697. The reversal of 9156381696 is 6961836519.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is not an unprimeable number, because it can be changed into a prime (9156381697) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398103541 + ... + 398103563.

Almost surely, 29156381696 is an apocalyptic number.

9156381696 is a gapful number since it is divisible by the number (96) 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 9156381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18817989120).

9156381696 is an abundant number, since it is smaller than the sum of its proper divisors (28479596544).

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

9156381696 is a wasteful number, since it uses less digits than its factorization.

9156381696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 63 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 9156381696 is about 95688.9841935842. The cubic root of 9156381696 is about 2092.0623778755.

The spelling of 9156381696 in words is "nine billion, one hundred fifty-six million, three hundred eighty-one thousand, six hundred ninety-six".