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5563778816 = 28193136899
BaseRepresentation
bin1010010111010000…
…01000011100000000
3112100202020020201002
411023220020130000
542343311410231
62320031031132
7254606224331
oct51350103400
915322206632
105563778816
1123a5676412
1210b336b4a8
136a88b491b
143aacda288
152286bc0cb
hex14ba08700

5563778816 has 72 divisors (see below), whose sum is σ = 12067776000. Its totient is φ = 2550389760.

The previous prime is 5563778813. The next prime is 5563778839. The reversal of 5563778816 is 6188773655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5563778813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132335 + ... + 169233.

It is an arithmetic number, because the mean of its divisors is an integer number (167608000).

Almost surely, 25563778816 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 5563778816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033888000).

5563778816 is an abundant number, since it is smaller than the sum of its proper divisors (6503997184).

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

5563778816 is a wasteful number, since it uses less digits than its factorization.

5563778816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36965 (or 36951 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 56.

The square root of 5563778816 is about 74590.7421601367. The cubic root of 5563778816 is about 1771.9710363217.

The spelling of 5563778816 in words is "five billion, five hundred sixty-three million, seven hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 496 589 608 992 1178 1216 1984 2356 2432 3968 4712 4864 7936 9424 18848 36899 37696 73798 75392 147596 150784 295192 590384 701081 1143869 1180768 1402162 2287738 2361536 2804324 4575476 4723072 5608648 9150952 9446144 11217296 18301904 21733511 22434592 36603808 43467022 44869184 73207616 86934044 89738368 146415232 173868088 179476736 292830464 347736176 695472352 1390944704 2781889408 5563778816