Search a number
-
+
999100009800 = 233252555055561
BaseRepresentation
bin11101000100111110000…
…00000100110101001000
310112111211222221012000200
432202133000010311020
5112332124100303200
62042551420332200
7132116425650624
oct16423700046510
93474758835020
10999100009800
113557969aaa42
121417706a4060
13732a39a6769
14364dcad0184
151aec773c800
hexe89f004d48

999100009800 has 72 divisors (see below), whose sum is σ = 3355310872290. Its totient is φ = 266426668800.

The previous prime is 999100009777. The next prime is 999100009811. The reversal of 999100009800 is 8900001999.

It can be written as a sum of positive squares in 3 ways, for example, as 914023954116 + 85076055684 = 956046^2 + 291678^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 277525981 + ... + 277529580.

Almost surely, 2999100009800 is an apocalyptic number.

999100009800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

999100009800 is an abundant number, since it is smaller than the sum of its proper divisors (2356210862490).

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

999100009800 is a wasteful number, since it uses less digits than its factorization.

999100009800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555055583 (or 555055571 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 999100009800 in words is "nine hundred ninety-nine billion, one hundred million, nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 555055561 1110111122 1665166683 2220222244 2775277805 3330333366 4440444488 4995500049 5550555610 6660666732 8325833415 9991000098 11101111220 13321333464 13876389025 16651666830 19982000196 22202222440 24977500245 27752778050 33303333660 39964000392 41629167075 49955000490 55505556100 66606667320 83258334150 99910000980 111011112200 124887501225 166516668300 199820001960 249775002450 333033336600 499550004900 999100009800