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2107516152 = 2337313710937
BaseRepresentation
bin111110110011110…
…0010010011111000
312102212122220122210
41331213202103320
513304011004102
6545043215120
7103140406650
oct17547422370
95385586583
102107516152
11991702095
124a99774a0
1327781cca1
1415dc85360
15c504e36c
hex7d9e24f8

2107516152 has 128 divisors (see below), whose sum is σ = 6384291840. Its totient is φ = 566922240.

The previous prime is 2107516139. The next prime is 2107516171. The reversal of 2107516152 is 2516157012.

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, 187228 + ... + 198164.

It is an arithmetic number, because the mean of its divisors is an integer number (49877280).

Almost surely, 22107516152 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 2107516152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192145920).

2107516152 is an abundant number, since it is smaller than the sum of its proper divisors (4276775688).

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

2107516152 is a wasteful number, since it uses less digits than its factorization.

2107516152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11021 (or 11017 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 2107516152 is about 45907.6916431223. The cubic root of 2107516152 is about 1282.1051280649.

The spelling of 2107516152 in words is "two billion, one hundred seven million, five hundred sixteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 37 42 56 62 74 84 93 111 124 148 168 186 217 222 248 259 296 372 434 444 518 651 744 777 868 888 1036 1147 1302 1554 1736 2072 2294 2604 3108 3441 4588 5208 6216 6882 8029 9176 10937 13764 16058 21874 24087 27528 32116 32811 43748 48174 64232 65622 76559 87496 96348 131244 153118 192696 229677 262488 306236 339047 404669 459354 612472 678094 809338 918708 1017141 1214007 1356188 1618676 1837416 2034282 2373329 2428014 2712376 2832683 3237352 4068564 4746658 4856028 5665366 7119987 8137128 8498049 9493316 9712056 11330732 12544739 14239974 16996098 18986632 22661464 25089478 28479948 33992196 37634217 50178956 56959896 67984392 75268434 87813173 100357912 150536868 175626346 263439519 301073736 351252692 526879038 702505384 1053758076 2107516152