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9758278656 = 2103476
BaseRepresentation
bin10010001011010001…
…11000010000000000
3221012001220220210000
421011220320100000
5124441104404111
64252145440000
7463551000000
oct110550702000
927161826700
109758278656
114158326205
121a84040000
13bc68b5ca9
14688000000
153c1a61c56
hex245a38400

9758278656 has 385 divisors, whose sum is σ = 33996774559. Its totient is φ = 2788079616.

The previous prime is 9758278639. The next prime is 9758278661. The reversal of 9758278656 is 6568728579.

The square root of 9758278656 is 98784.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

Its product of digits (50803200) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 9758278593 and 9758278602.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 1394039805 + ... + 1394039811.

Almost surely, 29758278656 is an apocalyptic number.

9758278656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9758278656 is the 98784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9758278656

9758278656 is an abundant number, since it is smaller than the sum of its proper divisors (24238495903).

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

9758278656 is an frugal number, since it uses more digits than its factorization.

9758278656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 12 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The cubic root of 9758278656 is about 2136.9338171706.

The spelling of 9758278656 in words is "nine billion, seven hundred fifty-eight million, two hundred seventy-eight thousand, six hundred fifty-six".