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5662000064 = 26716775679
BaseRepresentation
bin1010100010111101…
…10100001111000000
3112121121001101221002
411101132310033000
543043433000224
62333500151132
7260211130550
oct52136641700
915547041832
105662000064
1124460624a6
1211202384a8
136c30548c6
143b9d87160
1523211e9ae
hex1517b43c0

5662000064 has 56 divisors (see below), whose sum is σ = 12917667840. Its totient is φ = 2412009216.

The previous prime is 5662000063. The next prime is 5662000067. The reversal of 5662000064 is 4600002665.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5662000063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36977 + ... + 112655.

It is an arithmetic number, because the mean of its divisors is an integer number (230672640).

Almost surely, 25662000064 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 5662000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458833920).

5662000064 is an abundant number, since it is smaller than the sum of its proper divisors (7255667776).

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

5662000064 is a wasteful number, since it uses less digits than its factorization.

5662000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75865 (or 75855 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 5662000064 is about 75246.2627909187. The cubic root of 5662000064 is about 1782.3375492088.

The spelling of 5662000064 in words is "five billion, six hundred sixty-two million, sixty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 167 224 334 448 668 1169 1336 2338 2672 4676 5344 9352 10688 18704 37408 74816 75679 151358 302716 529753 605432 1059506 1210864 2119012 2421728 4238024 4843456 8476048 12638393 16952096 25276786 33904192 50553572 88468751 101107144 176937502 202214288 353875004 404428576 707750008 808857152 1415500016 2831000032 5662000064