Search a number
-
+
201971473920 = 293352922041
BaseRepresentation
bin1011110000011001110…
…0000001111000000000
3201022022201221221022000
42330012130001320000
511302114144131140
6232441233344000
720410020126246
oct2740634017000
9638281857260
10201971473920
11787236a4797
1233187a08000
13160798b93a8
149abdc72796
1553c159ea30
hex2f06701e00

201971473920 has 160 divisors (see below), whose sum is σ = 717419751840. Its totient is φ = 53859041280.

The previous prime is 201971473889. The next prime is 201971473927. The reversal of 201971473920 is 29374179102.

201971473920 is a `hidden beast` number, since 2 + 0 + 1 + 97 + 1 + 473 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201971473927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1391901 + ... + 1530140.

It is an arithmetic number, because the mean of its divisors is an integer number (4483873449).

Almost surely, 2201971473920 is an apocalyptic number.

201971473920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201971473920 is an abundant number, since it is smaller than the sum of its proper divisors (515448277920).

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

201971473920 is an equidigital number, since it uses as much as digits as its factorization.

201971473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922073 (or 2922051 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 201971473920 in words is "two hundred one billion, nine hundred seventy-one million, four hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 2922041 5844082 8766123 11688164 14610205 17532246 23376328 26298369 29220410 35064492 43830615 46752656 52596738 58440820 70128984 78895107 87661230 93505312 105193476 116881640 131491845 140257968 157790214 175322460 187010624 210386952 233763280 262983690 280515936 315580428 350644920 374021248 394475535 420773904 467526560 525967380 561031872 631160856 701289840 748042496 788951070 841547808 935053120 1051934760 1122063744 1262321712 1402579680 1496084992 1577902140 1683095616 1870106240 2103869520 2244127488 2524643424 2805159360 3155804280 3366191232 3740212480 4207739040 4488254976 5049286848 5610318720 6311608560 6732382464 7480424960 8415478080 10098573696 11220637440 12623217120 13464764928 16830956160 20197147392 22441274880 25246434240 33661912320 40394294784 50492868480 67323824640 100985736960 201971473920