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28136222064 = 24322117011321
BaseRepresentation
bin11010001101000011…
…001010110101110000
32200121212021011200200
4122031003022311300
5430110333101224
620531532515200
72014145640636
oct321503126560
980555234620
1028136222064
1110a29189095
12555291bb00
132865204612
14150cacd356
15aea1c35c9
hex68d0cad70

28136222064 has 120 divisors (see below), whose sum is σ = 79288367184. Its totient is φ = 9313920000.

The previous prime is 28136222063. The next prime is 28136222083. The reversal of 28136222064 is 46022263182.

28136222064 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 622 + 20 + 6 + 4 = 666.

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 (28136222063) 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, 21298524 + ... + 21299844.

Almost surely, 228136222064 is an apocalyptic number.

28136222064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28136222064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39644183592).

28136222064 is an abundant number, since it is smaller than the sum of its proper divisors (51152145120).

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

28136222064 is a wasteful number, since it uses less digits than its factorization.

28136222064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 28136222064 in words is "twenty-eight billion, one hundred thirty-six million, two hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 633 701 844 1266 1321 1402 1688 1899 2103 2532 2642 2804 3376 3798 3963 4206 5064 5284 5608 6309 7596 7926 8412 10128 10568 11216 11889 12618 15192 15852 16824 21136 23778 25236 30384 31704 33648 47556 50472 63408 95112 100944 147911 190224 278731 295822 443733 557462 591644 836193 887466 926021 1114924 1183288 1331199 1672386 1774932 1852042 2229848 2366576 2508579 2662398 2778063 3344772 3549864 3704084 4459696 5017158 5324796 5556126 6689544 7099728 7408168 8334189 10034316 10649592 11112252 13379088 14816336 16668378 20068632 21299184 22224504 33336756 40137264 44449008 66673512 133347024 195390431 390780862 586171293 781561724 1172342586 1563123448 1758513879 2344685172 3126246896 3517027758 4689370344 7034055516 9378740688 14068111032 28136222064