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2089504512 = 283533589
BaseRepresentation
bin111110010001011…
…0100111100000000
312101121202211100000
41330202310330000
513234403121022
6543201200000
7102531331614
oct17442647400
95347684300
102089504512
1198251a737
124a3930000
13273b84904
1415b717344
15c36926ac
hex7c8b4f00

2089504512 has 108 divisors (see below), whose sum is σ = 6247874360. Its totient is φ = 696480768.

The previous prime is 2089504507. The next prime is 2089504519. The reversal of 2089504512 is 2154059802.

2089504512 is a `hidden beast` number, since 20 + 89 + 504 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089504519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45414 + ... + 79002.

Almost surely, 22089504512 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 2089504512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123937180).

2089504512 is an abundant number, since it is smaller than the sum of its proper divisors (4158369848).

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

2089504512 is an frugal number, since it uses more digits than its factorization.

2089504512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33620 (or 33594 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2089504512 is about 45711.0983460253. The cubic root of 2089504512 is about 1278.4422195086.

The spelling of 2089504512 in words is "two billion, eighty-nine million, five hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 33589 62208 67178 100767 134356 201534 268712 302301 403068 537424 604602 806136 906903 1074848 1209204 1612272 1813806 2149696 2418408 2720709 3224544 3627612 4299392 4836816 5441418 6449088 7255224 8162127 8598784 9673632 10882836 12898176 14510448 16324254 19347264 21765672 25796352 29020896 32648508 38694528 43531344 58041792 65297016 77389056 87062688 116083584 130594032 174125376 232167168 261188064 348250752 522376128 696501504 1044752256 2089504512