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999789973 = 72132157769
BaseRepresentation
bin111011100101111…
…001010110010101
32120200021121000021
4323211321112111
54021421234343
6243112545141
733530034400
oct7345712625
92520247007
10999789973
114733a0006
1223a9b21b1
1312c195700
1496ad4d37
155cb8e0ed
hex3b979595

999789973 has 36 divisors (see below), whose sum is σ = 1269035460. Its totient is φ = 784982016.

The previous prime is 999789953. The next prime is 999789983. The reversal of 999789973 is 379987999.

It can be written as a sum of positive squares in 6 ways, for example, as 274995889 + 724794084 = 16583^2 + 26922^2 .

It is a de Polignac number, because none of the positive numbers 2k-999789973 is a prime.

It is a super-2 number, since 2×9997899732 = 1999159980222681458, which contains 22 as substring.

999789973 is a modest number, since divided by 89973 gives 9997 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999789953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1299733 + ... + 1300501.

It is an arithmetic number, because the mean of its divisors is an integer number (35250985).

Almost surely, 2999789973 is an apocalyptic number.

It is an amenable number.

999789973 is a deficient number, since it is larger than the sum of its proper divisors (269245487).

999789973 is a wasteful number, since it uses less digits than its factorization.

999789973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 946 counting only the distinct ones).

The product of its digits is 69441624, while the sum is 70.

The square root of 999789973 is about 31619.4556088494. The cubic root of 999789973 is about 999.9299860982.

It can be divided in two parts, 9997 and 89973, that multiplied together give a square (899460081 = 299912).

The spelling of 999789973 in words is "nine hundred ninety-nine million, seven hundred eighty-nine thousand, nine hundred seventy-three".

Divisors: 1 7 13 49 91 157 169 637 769 1099 1183 2041 5383 7693 8281 9997 14287 26533 37681 69979 100009 120733 129961 185731 489853 845131 909727 1300117 1569529 5915917 6368089 10986703 20403877 76906921 142827139 999789973