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5206655616 = 27334938851
BaseRepresentation
bin1001101100101011…
…10100001010000000
3111102212020111202220
410312111310022000
541130400434431
62220352411040
7243011561661
oct46625641200
914385214686
105206655616
112232026478
121013846a80
1364c906416
143756d7368
15207177b96
hex136574280

5206655616 has 64 divisors (see below), whose sum is σ = 13870164000. Its totient is φ = 1730534400.

The previous prime is 5206655611. The next prime is 5206655627. The reversal of 5206655616 is 6165566025.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5206655611) 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 7 ways as a sum of consecutive naturals, for example, 114591 + ... + 153441.

Almost surely, 25206655616 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 5206655616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935082000).

5206655616 is an abundant number, since it is smaller than the sum of its proper divisors (8663508384).

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

5206655616 is a wasteful number, since it uses less digits than its factorization.

5206655616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39217 (or 39205 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The square root of 5206655616 is about 72157.1591458533. The cubic root of 5206655616 is about 1733.2170436118.

The spelling of 5206655616 in words is "five billion, two hundred six million, six hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 349 384 698 1047 1396 2094 2792 4188 5584 8376 11168 16752 22336 33504 38851 44672 67008 77702 116553 134016 155404 233106 310808 466212 621616 932424 1243232 1864848 2486464 3729696 4972928 7459392 13558999 14918784 27117998 40676997 54235996 81353994 108471992 162707988 216943984 325415976 433887968 650831952 867775936 1301663904 1735551872 2603327808 5206655616