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955240388496 = 243417215972
BaseRepresentation
bin11011110011010001100…
…00111001011110010000
310101022122100022120110000
431321220300321132100
5111122313014412441
62010455324410000
7126004514221602
oct15715060713620
93338570276400
10955240388496
1133912a329329
121351700a6900
136c104113314
143433bab1172
1519cabeae2b6
hexde68c39790

955240388496 has 225 divisors, whose sum is σ = 2938781524899. Its totient is φ = 299495605248.

The previous prime is 955240388491. The next prime is 955240388527. The reversal of 955240388496 is 694883042559.

The square root of 955240388496 is 977364.

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

955240388496 is a `hidden beast` number, since 9 + 5 + 5 + 240 + 388 + 4 + 9 + 6 = 666.

955240388496 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 633226896 + 954607161600 = 25164^2 + 977040^2 .

It is not an unprimeable number, because it can be changed into a prime (955240388491) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 598145970 + ... + 598147566.

Almost surely, 2955240388496 is an apocalyptic number.

955240388496 is the 977364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 955240388496

955240388496 is an abundant number, since it is smaller than the sum of its proper divisors (1983541136403).

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

955240388496 is an equidigital number, since it uses as much as digits as its factorization.

955240388496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 955240388496 in words is "nine hundred fifty-five billion, two hundred forty million, three hundred eighty-eight thousand, four hundred ninety-six".