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2127752016 = 2431318118839
BaseRepresentation
bin111111011010010…
…1110101101010000
312111021202000001020
41332310232231100
513324201031031
6551045035440
7103504410435
oct17664565520
95437660036
102127752016
119a2073645
124b46b5b80
1327ba86880
14162831b8c
15c6bea096
hex7ed2eb50

2127752016 has 80 divisors (see below), whose sum is σ = 5952535680. Its totient is φ = 651041280.

The previous prime is 2127751999. The next prime is 2127752027. The reversal of 2127752016 is 6102577212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103525 + ... + 122363.

It is an arithmetic number, because the mean of its divisors is an integer number (74406696).

Almost surely, 22127752016 is an apocalyptic number.

2127752016 is a gapful number since it is divisible by the number (26) 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 2127752016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976267840).

2127752016 is an abundant number, since it is smaller than the sum of its proper divisors (3824783664).

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

2127752016 is a wasteful number, since it uses less digits than its factorization.

2127752016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19044 (or 19038 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 2127752016 is about 46127.5624328882. The cubic root of 2127752016 is about 1286.1955526275.

The spelling of 2127752016 in words is "two billion, one hundred twenty-seven million, seven hundred fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 181 208 312 362 543 624 724 1086 1448 2172 2353 2896 4344 4706 7059 8688 9412 14118 18824 18839 28236 37648 37678 56472 56517 75356 112944 113034 150712 226068 244907 301424 452136 489814 734721 904272 979628 1469442 1959256 2938884 3409859 3918512 5877768 6819718 10229577 11755536 13639436 20459154 27278872 40918308 44328167 54557744 81836616 88656334 132984501 163673232 177312668 265969002 354625336 531938004 709250672 1063876008 2127752016