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189766311648 = 2537092788057
BaseRepresentation
bin1011000010111011110…
…1000001111011100000
3200010211010210110012220
42300232331001323200
511102120133433043
6223102154351040
716465405014624
oct2605675017340
9603733713186
10189766311648
1173530154721
123094042b480
1314b830b0994
149282ccb184
154e09d05483
hex2c2ef41ee0

189766311648 has 48 divisors (see below), whose sum is σ = 498839337360. Its totient is φ = 63166196736.

The previous prime is 189766311629. The next prime is 189766311667. The reversal of 189766311648 is 846113667981.

189766311648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189766311629) and next prime (189766311667).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1897663116482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 189766311591 and 189766311600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1325965 + ... + 1462092.

It is an arithmetic number, because the mean of its divisors is an integer number (10392486195).

Almost surely, 2189766311648 is an apocalyptic number.

It is an amenable number.

189766311648 is an abundant number, since it is smaller than the sum of its proper divisors (309073025712).

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

189766311648 is a wasteful number, since it uses less digits than its factorization.

189766311648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788779 (or 2788771 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 60.

The spelling of 189766311648 in words is "one hundred eighty-nine billion, seven hundred sixty-six million, three hundred eleven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 709 1418 2127 2836 4254 5672 8508 11344 17016 22688 34032 68064 2788057 5576114 8364171 11152228 16728342 22304456 33456684 44608912 66913368 89217824 133826736 267653472 1976732413 3953464826 5930197239 7906929652 11860394478 15813859304 23720788956 31627718608 47441577912 63255437216 94883155824 189766311648