Search a number
-
+
206495173120 = 295711136087
BaseRepresentation
bin1100000001010000010…
…0100100101000000000
3201202000000002122222211
43000110010210220000
511340400231014440
6234510152111504
720630100003535
oct3002404445000
9652000078884
10206495173120
117a635161975
123402a995594
131661ab6cc92
149dcc98ad8c
1555887beeea
hex3014124a00

206495173120 has 80 divisors (see below), whose sum is σ = 502078186368. Its totient is φ = 81434644480.

The previous prime is 206495173109. The next prime is 206495173123. The reversal of 206495173120 is 21371594602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (206495173123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386284 + ... + 749803.

Almost surely, 2206495173120 is an apocalyptic number.

206495173120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206495173120 is an abundant number, since it is smaller than the sum of its proper divisors (295583013248).

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

206495173120 is an equidigital number, since it uses as much as digits as its factorization.

206495173120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136181 (or 1136165 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 206495173120 in words is "two hundred six billion, four hundred ninety-five million, one hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 256 284 320 355 512 568 640 710 1136 1280 1420 2272 2560 2840 4544 5680 9088 11360 18176 22720 36352 45440 90880 181760 1136087 2272174 4544348 5680435 9088696 11360870 18177392 22721740 36354784 45443480 72709568 80662177 90886960 145419136 161324354 181773920 290838272 322648708 363547840 403310885 581676544 645297416 727095680 806621770 1290594832 1454191360 1613243540 2581189664 2908382720 3226487080 5162379328 6452974160 10324758656 12905948320 20649517312 25811896640 41299034624 51623793280 103247586560 206495173120