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9601340832 = 253419231331
BaseRepresentation
bin10001111000100100…
…01101010110100000
3220210010121122120000
420330102031112200
5124130420401312
64224422020000
7456634023216
oct107422152640
926703548500
109601340832
114087785526
121a3b577600
13ba0228285
1467122acb6
153b2db1adc
hex23c48d5a0

9601340832 has 360 divisors, whose sum is σ = 30855952512. Its totient is φ = 2925331200.

The previous prime is 9601340807. The next prime is 9601340839. The reversal of 9601340832 is 2380431069.

9601340832 is a `hidden beast` number, since 9 + 601 + 3 + 40 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9601340839) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29006907 + ... + 29007237.

Almost surely, 29601340832 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 9601340832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427976256).

9601340832 is an abundant number, since it is smaller than the sum of its proper divisors (21254611680).

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

9601340832 is a wasteful number, since it uses less digits than its factorization.

9601340832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9601340832 is about 97986.4318770716. The cubic root of 9601340832 is about 2125.4160814405.

The spelling of 9601340832 in words is "nine billion, six hundred one million, three hundred forty thousand, eight hundred thirty-two".