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2136344064 = 29310131373
BaseRepresentation
bin111111101010110…
…0000011000000000
312111212220112010020
41333111200120000
513333401002224
6551553133440
7103640424231
oct17725403000
95455815106
102136344064
119a6a01a08
124b755a280
132807a461a
14163a2b088
15c7845c79
hex7f560600

2136344064 has 80 divisors (see below), whose sum is σ = 5701121712. Its totient is φ = 710893568.

The previous prime is 2136344047. The next prime is 2136344069. The reversal of 2136344064 is 4604436312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136344069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1555282 + ... + 1556654.

Almost surely, 22136344064 is an apocalyptic number.

2136344064 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 2136344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850560856).

2136344064 is an abundant number, since it is smaller than the sum of its proper divisors (3564777648).

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

2136344064 is a wasteful number, since it uses less digits than its factorization.

2136344064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 2136344064 is about 46220.6021596431. The cubic root of 2136344064 is about 1287.9244840825.

The spelling of 2136344064 in words is "two billion, one hundred thirty-six million, three hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1013 1373 1536 2026 2746 3039 4052 4119 5492 6078 8104 8238 10984 12156 16208 16476 21968 24312 32416 32952 43936 48624 64832 65904 87872 97248 129664 131808 175744 194496 259328 263616 351488 388992 518656 527232 702976 777984 1054464 1390849 1555968 2108928 2781698 4172547 5563396 8345094 11126792 16690188 22253584 33380376 44507168 66760752 89014336 133521504 178028672 267043008 356057344 534086016 712114688 1068172032 2136344064