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2136339632 = 247219173829
BaseRepresentation
bin111111101010101…
…1111010010110000
312111212220022001002
41333111133102300
513333400332012
6551553101132
7103640405300
oct17725372260
95455808032
102136339632
119a69a9649
124b75577a8
132807a25bb
14163a29600
15c78447c2
hex7f55f4b0

2136339632 has 120 divisors (see below), whose sum is σ = 5103802800. Its totient is φ = 861331968.

The previous prime is 2136339619. The next prime is 2136339643. The reversal of 2136339632 is 2369336312.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 23 ways as a sum of consecutive naturals, for example, 2576594 + ... + 2577422.

It is an arithmetic number, because the mean of its divisors is an integer number (42531690).

Almost surely, 22136339632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136339632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551901400).

2136339632 is an abundant number, since it is smaller than the sum of its proper divisors (2967463168).

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

2136339632 is a wasteful number, since it uses less digits than its factorization.

2136339632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1030 counting only the distinct ones).

The product of its digits is 104976, while the sum is 38.

The square root of 2136339632 is about 46220.5542156301. The cubic root of 2136339632 is about 1287.9235934511.

The spelling of 2136339632 in words is "two billion, one hundred thirty-six million, three hundred thirty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 173 196 266 304 346 392 532 692 784 829 931 1064 1211 1384 1658 1862 2128 2422 2768 3287 3316 3724 4844 5803 6574 6632 7448 8477 9688 11606 13148 13264 14896 15751 16954 19376 23009 23212 26296 31502 33908 40621 46018 46424 52592 63004 67816 81242 92036 92848 110257 126008 135632 143417 161063 162484 184072 220514 252016 286834 322126 324968 368144 441028 573668 644252 649936 771799 882056 1003919 1147336 1288504 1543598 1764112 2007838 2294672 2577008 2724923 3087196 4015676 5449846 6174392 7027433 8031352 10899692 12348784 14054866 16062704 19074461 21799384 28109732 38148922 43598768 56219464 76297844 112438928 133521227 152595688 267042454 305191376 534084908 1068169816 2136339632