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2139127680 = 27351765537
BaseRepresentation
bin111111110000000…
…0111111110000000
312112002010221112010
41333200013332000
513340104041210
6552132532520
7104003166564
oct17740077600
95462127463
102139127680
119a8533318
124b8481140
1328123a631
141641536a4
15c7be5920
hex7f807f80

2139127680 has 128 divisors (see below), whose sum is σ = 7219666080. Its totient is φ = 536870912.

The previous prime is 2139127643. The next prime is 2139127681. The reversal of 2139127680 is 867219312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139127681) by changing a digit.

In principle, a polygon with 2139127680 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129 + ... + 65408.

Almost surely, 22139127680 is an apocalyptic number.

2139127680 is a gapful number since it is divisible by the number (20) 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 2139127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609833040).

2139127680 is an abundant number, since it is smaller than the sum of its proper divisors (5080538400).

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

2139127680 is a wasteful number, since it uses less digits than its factorization.

2139127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65576 (or 65564 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2139127680 is about 46250.7046432808. The cubic root of 2139127680 is about 1288.4836217369.

The spelling of 2139127680 in words is "two billion, one hundred thirty-nine million, one hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 65537 131074 196611 262148 327685 393222 524296 655370 786444 983055 1048592 1114129 1310740 1572888 1966110 2097184 2228258 2621480 3145776 3342387 3932220 4194368 4456516 5242960 5570645 6291552 6684774 7864440 8388736 8913032 10485920 11141290 12583104 13369548 15728880 16711935 17826064 20971840 22282580 25166208 26739096 31457760 33423870 35652128 41943680 44565160 53478192 62915520 66847740 71304256 89130320 106956384 125831040 133695480 142608512 178260640 213912768 267390960 356521280 427825536 534781920 713042560 1069563840 2139127680