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8199000054 = 2327711496151
BaseRepresentation
bin1111010001011001…
…01100111111110110
3210011101212100122200
413220230230333312
5113242421000204
63433325005330
7410115231150
oct75054547766
923141770580
108199000054
113528138103
1217099b3846
13a0883a22b
1457aca9ad0
1532ec08539
hex1e8b2cff6

8199000054 has 96 divisors (see below), whose sum is σ = 20729779200. Its totient is φ = 2293704000.

The previous prime is 8199000053. The next prime is 8199000101. The reversal of 8199000054 is 4500009918.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8198999982 and 8199000018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8199000053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1329879 + ... + 1336029.

It is an arithmetic number, because the mean of its divisors is an integer number (215935200).

Almost surely, 28199000054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8199000054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10364889600).

8199000054 is an abundant number, since it is smaller than the sum of its proper divisors (12530779146).

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

8199000054 is a wasteful number, since it uses less digits than its factorization.

8199000054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 8199000054 is about 90548.3299349027. The cubic root of 8199000054 is about 2016.4477035615.

The spelling of 8199000054 in words is "eight billion, one hundred ninety-nine million, fifty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 149 213 298 426 447 497 639 894 994 1043 1278 1341 1491 2086 2682 2982 3129 4473 6151 6258 8946 9387 10579 12302 18453 18774 21158 31737 36906 43057 55359 63474 74053 86114 95211 110718 129171 148106 190422 222159 258342 387513 436721 444318 666477 775026 873442 916499 1310163 1332954 1832998 2620326 2749497 3057047 3930489 5498994 6114094 6415493 7860978 8248491 9171141 12830986 16496982 18342282 19246479 27513423 38492958 55026846 57739437 65071429 115478874 130142858 195214287 390428574 455500003 585642861 911000006 1171285722 1366500009 2733000018 4099500027 8199000054