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45377813382 = 231113118232879
BaseRepresentation
bin101010010000101110…
…100111101110000110
311100010110100202120220
4222100232213232012
51220413210012012
632502444005210
73164335023006
oct522056475606
9140113322526
1045377813382
1118276657910
128964b30806
134382284c65
1422a68da006
1512a8bbd08c
hexa90ba7b86

45377813382 has 64 divisors (see below), whose sum is σ = 99851304960. Its totient is φ = 13633661600.

The previous prime is 45377813353. The next prime is 45377813419. The reversal of 45377813382 is 28331877354.

45377813382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15760219 + ... + 15763097.

It is an arithmetic number, because the mean of its divisors is an integer number (1560176640).

Almost surely, 245377813382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45377813382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49925652480).

45377813382 is an abundant number, since it is smaller than the sum of its proper divisors (54473491578).

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

45377813382 is a wasteful number, since it uses less digits than its factorization.

45377813382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849.

The product of its digits is 3386880, while the sum is 51.

The spelling of 45377813382 in words is "forty-five billion, three hundred seventy-seven million, eight hundred thirteen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 66 131 262 393 786 1441 1823 2879 2882 3646 4323 5469 5758 8637 8646 10938 17274 20053 31669 40106 60159 63338 95007 120318 190014 238813 377149 477626 716439 754298 1131447 1432878 2262894 2626943 4148639 5248417 5253886 7880829 8297278 10496834 12445917 15745251 15761658 24891834 31490502 57732587 115465174 173197761 346395522 687542627 1375085254 2062627881 4125255762 7562968897 15125937794 22688906691 45377813382