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55197800448 = 2113719312179
BaseRepresentation
bin110011011010000010…
…111001100000000000
312021110211101210101120
4303122002321200000
51401021114103243
641205120232240
73662565363630
oct633202714000
9167424353346
1055197800448
11214557a04aa
12a84576b680
1352888956ab
142958ba06c0
151680d6dc83
hexcda0b9800

55197800448 has 384 divisors, whose sum is σ = 182827008000. Its totient is φ = 14452162560.

The previous prime is 55197800447. The next prime is 55197800459. The reversal of 55197800448 is 84400879155.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 55197800448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55197800447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25330623 + ... + 25332801.

It is an arithmetic number, because the mean of its divisors is an integer number (476112000).

Almost surely, 255197800448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55197800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91413504000).

55197800448 is an abundant number, since it is smaller than the sum of its proper divisors (127629207552).

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

55197800448 is a wasteful number, since it uses less digits than its factorization.

55197800448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 55197800448 in words is "fifty-five billion, one hundred ninety-seven million, eight hundred thousand, four hundred forty-eight".