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995042704864 = 251327124110753
BaseRepresentation
bin11100111101011010010…
…10101011110111100000
310112010101020101201222111
432132231022223313200
5112300321413023424
62041041042245104
7131614041303355
oct16365512536740
93463336351874
10995042704864
11353aa473676a
12140a19956794
1372aa823ca00
1436235d0062c
151ad3b448194
hexe7ad2abde0

995042704864 has 144 divisors (see below), whose sum is σ = 2160277457184. Its totient is φ = 450861465600.

The previous prime is 995042704823. The next prime is 995042704871. The reversal of 995042704864 is 468407240599.

It is a junction number, because it is equal to n+sod(n) for n = 995042704799 and 995042704808.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 92530912 + ... + 92541664.

It is an arithmetic number, because the mean of its divisors is an integer number (15001926786).

Almost surely, 2995042704864 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 995042704864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080138728592).

995042704864 is an abundant number, since it is smaller than the sum of its proper divisors (1165234752320).

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

995042704864 is a wasteful number, since it uses less digits than its factorization.

995042704864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101 (or 11080 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 995042704864 in words is "nine hundred ninety-five billion, forty-two million, seven hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 71 104 142 169 208 241 284 338 416 482 568 676 923 964 1136 1352 1846 1928 2272 2704 3133 3692 3856 5408 6266 7384 7712 10753 11999 12532 14768 17111 21506 23998 25064 29536 34222 40729 43012 47996 50128 68444 81458 86024 95992 100256 136888 139789 162916 172048 191984 222443 273776 279578 325832 344096 383968 444886 547552 559156 651664 763463 889772 1118312 1303328 1526926 1779544 1817257 2236624 2591473 2891759 3053852 3559088 3634514 4473248 5182946 5783518 6107704 7118176 7269028 9925019 10365892 11567036 12215408 14538056 19850038 20731784 23134072 24430816 29076112 33689149 39700076 41463568 46268144 58152224 67378298 79400152 82927136 92536288 129025247 134756596 158800304 183994583 258050494 269513192 317600608 367989166 437958937 516100988 539026384 735978332 875917874 1032201976 1078052768 1471956664 1751835748 2064403952 2391929579 2943913328 3503671496 4128807904 4783859158 5887826656 7007342992 9567718316 14014685984 19135436632 31095084527 38270873264 62190169054 76541746528 124380338108 248760676216 497521352432 995042704864