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27001995264 = 21432183119
BaseRepresentation
bin11001001001011100…
…011100000000000000
32120200211000111000200
4121021130130000000
5420300002322024
620223214245200
71644064113156
oct311134340000
976624014020
1027001995264
11104a6a16772
125296ab6800
13271422baba
1414422013d6
15a8082b2c9
hex64971c000

27001995264 has 90 divisors (see below), whose sum is σ = 78003809520. Its totient is φ = 9000615936.

The previous prime is 27001995263. The next prime is 27001995329. The reversal of 27001995264 is 46259910072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27001995263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55897 + ... + 239015.

Almost surely, 227001995264 is an apocalyptic number.

27001995264 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 27001995264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39001904760).

27001995264 is an abundant number, since it is smaller than the sum of its proper divisors (51001814256).

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

27001995264 is an equidigital number, since it uses as much as digits as its factorization.

27001995264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183153 (or 183124 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 27001995264 in words is "twenty-seven billion, one million, nine hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 36864 49152 73728 147456 183119 366238 549357 732476 1098714 1464952 1648071 2197428 2929904 3296142 4394856 5859808 6592284 8789712 11719616 13184568 17579424 23439232 26369136 35158848 46878464 52738272 70317696 93756928 105476544 140635392 187513856 210953088 281270784 375027712 421906176 562541568 750055424 843812352 1125083136 1500110848 1687624704 2250166272 3000221696 3375249408 4500332544 6750498816 9000665088 13500997632 27001995264