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5619561664 = 26239414057
BaseRepresentation
bin1010011101111001…
…11011010011000000
3112111122012022101111
411032330323103000
543002101433124
62325342413104
7256154325463
oct51674732300
915448168344
105619561664
112424106942
121109b91194
136b7316222
143b449b2da
1522d53a494
hex14ef3b4c0

5619561664 has 56 divisors (see below), whose sum is σ = 11651394528. Its totient is φ = 2684098560.

The previous prime is 5619561637. The next prime is 5619561691. The reversal of 5619561664 is 4661659165.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5619561637) and next prime (5619561691).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1383124 + ... + 1387180.

Almost surely, 25619561664 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 5619561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825697264).

5619561664 is an abundant number, since it is smaller than the sum of its proper divisors (6031832864).

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

5619561664 is a wasteful number, since it uses less digits than its factorization.

5619561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5023 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 49.

The square root of 5619561664 is about 74963.7356593173. The cubic root of 5619561664 is about 1777.8733243000.

The spelling of 5619561664 in words is "five billion, six hundred nineteen million, five hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 941 1472 1882 3764 4057 7528 8114 15056 16228 21643 30112 32456 43286 60224 64912 86572 93311 129824 173144 186622 259648 346288 373244 692576 746488 1385152 1492976 2985952 3817637 5971904 7635274 15270548 30541096 61082192 87805651 122164384 175611302 244328768 351222604 702445208 1404890416 2809780832 5619561664