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800000000125 = 5337415379601
BaseRepresentation
bin10111010010000111011…
…01110100000001111101
32211110221101010202011021
423221003231310001331
5101101400000001000
61411303120224141
7111540513542254
oct13510355640175
92743841122137
10800000000125
112893071648a7
1210b06646b051
135a593c79751
142aa1236579b
1515c232e211a
hexba43b7407d

800000000125 has 64 divisors (see below), whose sum is σ = 1070225327808. Its totient is φ = 596044800000.

The previous prime is 800000000117. The next prime is 800000000131. The reversal of 800000000125 is 521000000008.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 782032474276 + 17967525849 = 884326^2 + 134043^2 .

It is a sliding number, since 800000000125 = 125 + 800000000000 and 1/125 + 1/800000000000 = 0.00800000000125.

It is not a de Polignac number, because 800000000125 - 23 = 800000000117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 800000000099 and 800000000108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10010325 + ... + 10089925.

It is an arithmetic number, because the mean of its divisors is an integer number (16722270747).

Almost surely, 2800000000125 is an apocalyptic number.

It is an amenable number.

800000000125 is a deficient number, since it is larger than the sum of its proper divisors (270225327683).

800000000125 is a wasteful number, since it uses less digits than its factorization.

800000000125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79747 (or 79737 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

It can be divided in two parts, 800000000 and 125, that multiplied together give a 11-th power (100000000000 = 1011).

The spelling of 800000000125 in words is "eight hundred billion, one hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 25 37 41 53 125 185 205 265 925 1025 1325 1517 1961 2173 4625 5125 6625 7585 9805 10865 37925 49025 54325 79601 80401 189625 245125 271625 398005 402005 1990025 2010025 2945237 3263641 4218853 9950125 10050125 14726185 16318205 21094265 73630925 81591025 105471325 120754717 156097561 172972973 368154625 407955125 527356625 603773585 780487805 864864865 3018867925 3902439025 4324324325 6400000001 15094339625 19512195125 21621621625 32000000005 160000000025 800000000125