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55948390848 = 2633753197443
BaseRepresentation
bin110100000110110010…
…001011000111000000
312100102010202201212000
4310012302023013000
51404040242001343
641411412104000
74020311322060
oct640662130700
9170363681760
1055948390848
1121800454149
12aa15005000
135378238b1c
1429ca7473a0
1516c6bd5ed3
hexd06c8b1c0

55948390848 has 448 divisors, whose sum is σ = 192928158720. Its totient is φ = 15568809984.

The previous prime is 55948390847. The next prime is 55948390871. The reversal of 55948390848 is 84809384955.

55948390848 is a `hidden beast` number, since 5 + 594 + 8 + 39 + 0 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55948390847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126294115 + ... + 126294557.

Almost surely, 255948390848 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 55948390848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96464079360).

55948390848 is an abundant number, since it is smaller than the sum of its proper divisors (136979767872).

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

55948390848 is a wasteful number, since it uses less digits than its factorization.

55948390848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 55948390848 in words is "fifty-five billion, nine hundred forty-eight million, three hundred ninety thousand, eight hundred forty-eight".