Search a number
-
+
2136047995520 = 275167173115523
BaseRepresentation
bin11111000101010110011…
…000011100101010000000
321120012111212011002201222
4133011112120130222000
5234444111241324040
64313141545414212
7310216155246305
oct37052630345200
97505455132658
102136047995520
1175399045251a
122a5b9219a368
1312657543a87a
147555729d0ac
153a86bca9bb5
hex1f15661ca80

2136047995520 has 128 divisors (see below), whose sum is σ = 5166806279040. Its totient is φ = 844386340864.

The previous prime is 2136047995511. The next prime is 2136047995579. The reversal of 2136047995520 is 255997406312.

It is a happy number.

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

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, 18432479 + ... + 18548001.

It is an arithmetic number, because the mean of its divisors is an integer number (40365674055).

Almost surely, 22136047995520 is an apocalyptic number.

2136047995520 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 2136047995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583403139520).

2136047995520 is an abundant number, since it is smaller than the sum of its proper divisors (3030758283520).

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

2136047995520 is a wasteful number, since it uses less digits than its factorization.

2136047995520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115882 (or 115870 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 53.

The spelling of 2136047995520 in words is "two trillion, one hundred thirty-six billion, forty-seven million, nine hundred ninety-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 167 173 320 334 346 640 668 692 835 865 1336 1384 1670 1730 2672 2768 3340 3460 5344 5536 6680 6920 10688 11072 13360 13840 21376 22144 26720 27680 28891 53440 55360 57782 106880 110720 115523 115564 144455 231046 231128 288910 462092 462256 577615 577820 924184 924512 1155230 1155640 1848368 1849024 2310460 2311280 3696736 3698048 4620920 4622560 7393472 9241840 9245120 14786944 18483680 18490240 19292341 19985479 36967360 38584682 39970958 73934720 77169364 79941916 96461705 99927395 154338728 159883832 192923410 199854790 308677456 319767664 385846820 399709580 617354912 639535328 771693640 799419160 1234709824 1279070656 1543387280 1598838320 2469419648 2558141312 3086774560 3197676640 3337574993 6173549120 6395353280 6675149986 12347098240 12790706560 13350299972 16687874965 26700599944 33375749930 53401199888 66751499860 106802399776 133502999720 213604799552 267005999440 427209599104 534011998880 1068023997760 2136047995520