Search a number
-
+
289277720064 = 293320925761
BaseRepresentation
bin1000011010110100100…
…10111011011000000000
31000122200021001202211000
410031122102323120000
514214420044020224
6340520425252000
726620400023104
oct4153222733000
91018607052730
10289277720064
11101755805723
1248092634000
1321381600c78
14100030c5904
1577d11cc0c9
hex435a4bb600

289277720064 has 80 divisors (see below), whose sum is σ = 856282181040. Its totient is φ = 96425902080.

The previous prime is 289277720063. The next prime is 289277720119. The reversal of 289277720064 is 460027772982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289277720063) 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, 10449057 + ... + 10476704.

It is an arithmetic number, because the mean of its divisors is an integer number (10703527263).

Almost surely, 2289277720064 is an apocalyptic number.

289277720064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

289277720064 is an abundant number, since it is smaller than the sum of its proper divisors (567004460976).

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

289277720064 is an equidigital number, since it uses as much as digits as its factorization.

289277720064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20925788 (or 20925766 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 289277720064 in words is "two hundred eighty-nine billion, two hundred seventy-seven million, seven hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 20925761 41851522 62777283 83703044 125554566 167406088 188331849 251109132 334812176 376663698 502218264 564995547 669624352 753327396 1004436528 1129991094 1339248704 1506654792 2008873056 2259982188 2678497408 3013309584 4017746112 4519964376 5356994816 6026619168 8035492224 9039928752 10713989632 12053238336 16070984448 18079857504 24106476672 32141968896 36159715008 48212953344 72319430016 96425906688 144638860032 289277720064