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2043816827136 = 28372729139309
BaseRepresentation
bin11101101111011100111…
…110011101100100000000
321020101110002221021222120
4131233130332131210000
5231441214101432021
64202525543404240
7300442454250540
oct35573476354400
97211402837876
102043816827136
11718861353617
12290132153680
1311a9672c3216
1470cc7d2d320
153826eb062c6
hex1dbdcf9d900

2043816827136 has 144 divisors (see below), whose sum is σ = 6218932137600. Its totient is φ = 583729496064.

The previous prime is 2043816827123. The next prime is 2043816827147. The reversal of 2043816827136 is 6317286183402.

It is a happy number.

It is a super-2 number, since 2×20438168271362 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14601450 + ... + 14740758.

Almost surely, 22043816827136 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 2043816827136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109466068800).

2043816827136 is an abundant number, since it is smaller than the sum of its proper divisors (4175115310464).

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

2043816827136 is a wasteful number, since it uses less digits than its factorization.

2043816827136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142064 (or 142050 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 2043816827136 in words is "two trillion, forty-three billion, eight hundred sixteen million, eight hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 2729 5376 5458 8187 10916 16374 19103 21832 32748 38206 43664 57309 65496 76412 87328 114618 130992 139309 152824 174656 229236 261984 278618 305648 349312 417927 458472 523968 557236 611296 698624 835854 916944 975163 1047936 1114472 1222592 1671708 1833888 1950326 2095872 2228944 2445184 2925489 3343416 3667776 3900652 4457888 4890368 5850978 6686832 7335552 7801304 8915776 11701956 13373664 14671104 15602608 17831552 23403912 26747328 31205216 35663104 46807824 53494656 62410432 93615648 106989312 124820864 187231296 249641728 374462592 380174261 748925184 760348522 1140522783 1520697044 2281045566 2661219827 3041394088 4562091132 5322439654 6082788176 7983659481 9124182264 10644879308 12165576352 15967318962 18248364528 21289758616 24331152704 31934637924 36496729056 42579517232 48662305408 63869275848 72993458112 85159034464 97324610816 127738551696 145986916224 170318068928 255477103392 291973832448 340636137856 510954206784 681272275712 1021908413568 2043816827136