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96022506240 = 2834517157347
BaseRepresentation
bin101100101101101100…
…0110010101100000000
3100011211222021201120000
41121123120302230000
53033123230144430
6112040115320000
76636345556533
oct1313330625400
9304758251500
1096022506240
11377a5224181
12167398b0000
13909376b13b
14490cac8a1a
15276ee5ce60
hex165b632b00

96022506240 has 720 divisors, whose sum is σ = 367169296032. Its totient is φ = 23877255168.

The previous prime is 96022506211. The next prime is 96022506247. The reversal of 96022506240 is 4260522069.

96022506240 is a `hidden beast` number, since 9 + 6 + 0 + 2 + 25 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×960225062402 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 96022506195 and 96022506204.

It is not an unprimeable number, because it can be changed into a prime (96022506247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 276721747 + ... + 276722093.

Almost surely, 296022506240 is an apocalyptic number.

96022506240 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 96022506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183584648016).

96022506240 is an abundant number, since it is smaller than the sum of its proper divisors (271146789792).

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

96022506240 is a wasteful number, since it uses less digits than its factorization.

96022506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 96022506240 in words is "ninety-six billion, twenty-two million, five hundred six thousand, two hundred forty".