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2089468864 = 26713135603
BaseRepresentation
bin111110010001010…
…1100001111000000
312101121201000102201
41330202230033000
513234401000424
6543200322544
7102531122650
oct17442541700
95347630381
102089468864
119824a597a
124a3913454
13273b71612
1415b708360
15c3686d44
hex7c8ac3c0

2089468864 has 56 divisors (see below), whose sum is σ = 4774923648. Its totient is φ = 888625920.

The previous prime is 2089468841. The next prime is 2089468891. The reversal of 2089468864 is 4688649802.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40887 + ... + 76489.

Almost surely, 22089468864 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 2089468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387461824).

2089468864 is an abundant number, since it is smaller than the sum of its proper divisors (2685454784).

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

2089468864 is a wasteful number, since it uses less digits than its factorization.

2089468864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35753 (or 35743 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 55.

The square root of 2089468864 is about 45710.7084171751. The cubic root of 2089468864 is about 1278.4349491778.

The spelling of 2089468864 in words is "two billion, eighty-nine million, four hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 131 224 262 448 524 917 1048 1834 2096 3668 4192 7336 8384 14672 29344 35603 58688 71206 142412 249221 284824 498442 569648 996884 1139296 1993768 2278592 3987536 4663993 7975072 9327986 15950144 18655972 32647951 37311944 65295902 74623888 130591804 149247776 261183608 298495552 522367216 1044734432 2089468864