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55603452576 = 253717191132267
BaseRepresentation
bin110011110010001110…
…010101101010100000
312022112002201001111110
4303302032111222200
51402333440440301
641313250543320
74005622356120
oct636216255240
9168462631443
1055603452576
11216437769a1
12a939597b40
135321935839
1429969d6c80
1516a679c0d6
hexcf2395aa0

55603452576 has 384 divisors, whose sum is σ = 187646699520. Its totient is φ = 14033682432.

The previous prime is 55603452497. The next prime is 55603452581. The reversal of 55603452576 is 67525430655.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24526195 + ... + 24528461.

It is an arithmetic number, because the mean of its divisors is an integer number (488663280).

Almost surely, 255603452576 is an apocalyptic number.

55603452576 is a gapful number since it is divisible by the number (56) 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 55603452576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93823349760).

55603452576 is an abundant number, since it is smaller than the sum of its proper divisors (132043246944).

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

55603452576 is a wasteful number, since it uses less digits than its factorization.

55603452576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 48.

The spelling of 55603452576 in words is "fifty-five billion, six hundred three million, four hundred fifty-two thousand, five hundred seventy-six".