Search a number
-
+
55201298332752 = 2432111331313276277
BaseRepresentation
bin11001000110100100011011…
…10001110011110001010000
321020110012012101121012202200
430203102031301303301100
524213404224333122002
6313223043143443200
714425106426655045
oct1443221561636120
9236405171535680
1055201298332752
11166528148a5420
12623646b156500
1324a55c9aa9530
14d8ba8567b1cc
1565ada47b6b1c
hex32348dc73c50

55201298332752 has 480 divisors, whose sum is σ = 187949103154176. Its totient is φ = 14895033753600.

The previous prime is 55201298332723. The next prime is 55201298332757. The reversal of 55201298332752 is 25723389210255.

55201298332752 is a `hidden beast` number, since 5 + 5 + 20 + 1 + 298 + 3 + 327 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55201298332757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199666038 + ... + 199942314.

Almost surely, 255201298332752 is an apocalyptic number.

55201298332752 is a gapful number since it is divisible by the number (52) 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 55201298332752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93974551577088).

55201298332752 is an abundant number, since it is smaller than the sum of its proper divisors (132747804821424).

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

55201298332752 is a wasteful number, since it uses less digits than its factorization.

55201298332752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276659 (or 276650 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 55201298332752 in words is "fifty-five trillion, two hundred one billion, two hundred ninety-eight million, three hundred thirty-two thousand, seven hundred fifty-two".