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20755067564 = 22711237165569
BaseRepresentation
bin10011010101000110…
…010011001010101100
31222120110022200020002
4103111012103022230
5320001244130224
613311301043432
71333221110030
oct232506231254
958513280202
1020755067564
118890770500
1240329b6578
131c59c57b8a
14100c6b61c0
158171b99ae
hex4d51932ac

20755067564 has 72 divisors (see below), whose sum is σ = 46860283680. Its totient is φ = 7867791360.

The previous prime is 20755067561. The next prime is 20755067611. The reversal of 20755067564 is 46576055702.

It is not an unprimeable number, because it can be changed into a prime (20755067561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42572 + ... + 208140.

Almost surely, 220755067564 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 20755067564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23430141840).

20755067564 is an abundant number, since it is smaller than the sum of its proper divisors (26105216116).

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

20755067564 is a wasteful number, since it uses less digits than its factorization.

20755067564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165639 (or 165626 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 47.

The spelling of 20755067564 in words is "twenty billion, seven hundred fifty-five million, sixty-seven thousand, five hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 121 148 154 242 259 308 407 484 518 814 847 1036 1628 1694 2849 3388 4477 5698 8954 11396 17908 31339 62678 125356 165569 331138 662276 1158983 1821259 2317966 3642518 4635932 6126053 7285036 12252106 12748813 20033849 24504212 25497626 40067698 42882371 50995252 67386583 80135396 85764742 134773166 140236943 171529484 269546332 280473886 471706081 560947772 741252413 943412162 1482504826 1886824324 2965009652 5188766891 10377533782 20755067564