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9881950464 = 28321921092
BaseRepresentation
bin10010011010000001…
…01001100100000000
3221111200122002121100
421031000221210000
5130214234403324
64312324254400
7466612123131
oct111500514400
927450562540
109881950464
114211115711
121ab9541400
13c163c7289
1469a5d3c88
153cc8404c9
hex24d029900

9881950464 has 243 divisors, whose sum is σ = 30349017153. Its totient is φ = 3091986432.

The previous prime is 9881950459. The next prime is 9881950487. The reversal of 9881950464 is 4640591889.

The square root of 9881950464 is 99408.

It is a perfect power (a square), and thus also a powerful number.

9881950464 is a `hidden beast` number, since 98 + 8 + 1 + 95 + 0 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6887672064 + 2994278400 = 82992^2 + 54720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9881950464.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90660042 + ... + 90660150.

Almost surely, 29881950464 is an apocalyptic number.

9881950464 is the 99408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9881950464

9881950464 is an abundant number, since it is smaller than the sum of its proper divisors (20467066689).

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

9881950464 is a wasteful number, since it uses less digits than its factorization.

9881950464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The cubic root of 9881950464 is about 2145.9234428406.

The spelling of 9881950464 in words is "nine billion, eight hundred eighty-one million, nine hundred fifty thousand, four hundred sixty-four".