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5505406848 = 273215131649
BaseRepresentation
bin1010010000010010…
…11101011110000000
3112012200101122102100
411020021131132000
542233341004343
62310143550400
7253300120554
oct51011353600
915180348370
105505406848
112375727717
1210978bb400
136997879b6
143a3263864
152234db9d3
hex14825d780

5505406848 has 96 divisors (see below), whose sum is σ = 15947802000. Its totient is φ = 1822924800.

The previous prime is 5505406847. The next prime is 5505406861. The reversal of 5505406848 is 8486045055.

5505406848 is a `hidden beast` number, since 5 + 5 + 0 + 540 + 68 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505406843) 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 11 ways as a sum of consecutive naturals, for example, 158128 + ... + 189776.

Almost surely, 25505406848 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 5505406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973901000).

5505406848 is an abundant number, since it is smaller than the sum of its proper divisors (10442395152).

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

5505406848 is a wasteful number, since it uses less digits than its factorization.

5505406848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31820 (or 31805 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 5505406848 is about 74198.4288782451. The cubic root of 5505406848 is about 1765.7524041881.

The spelling of 5505406848 in words is "five billion, five hundred five million, four hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 151 192 288 302 384 453 576 604 906 1152 1208 1359 1812 2416 2718 3624 4832 5436 7248 9664 10872 14496 19328 21744 28992 31649 43488 57984 63298 86976 94947 126596 173952 189894 253192 284841 379788 506384 569682 759576 1012768 1139364 1519152 2025536 2278728 3038304 4051072 4557456 4778999 6076608 9114912 9557998 12153216 14336997 18229824 19115996 28673994 36459648 38231992 43010991 57347988 76463984 86021982 114695976 152927968 172043964 229391952 305855936 344087928 458783904 611711872 688175856 917567808 1376351712 1835135616 2752703424 5505406848