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20120746500 = 2232539294813
BaseRepresentation
bin10010101111010010…
…100011101000000100
31220221020201211022100
4102233102203220010
5312201402342000
613124321232100
71311416344341
oct225722435004
956836654270
1020120746500
118595700718
123a96492630
131b8870357a
14d8c3577c8
157cb66ca00
hex4af4a3a04

20120746500 has 144 divisors (see below), whose sum is σ = 63555775920. Its totient is φ = 5358643200.

The previous prime is 20120746453. The next prime is 20120746511. The reversal of 20120746500 is 564702102.

20120746500 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 0 + 7 + 4 + 650 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10320934464 + 9799812036 = 101592^2 + 98994^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4178094 + ... + 4182906.

It is an arithmetic number, because the mean of its divisors is an integer number (441359555).

Almost surely, 220120746500 is an apocalyptic number.

20120746500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20120746500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31777887960).

20120746500 is an abundant number, since it is smaller than the sum of its proper divisors (43435029420).

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

20120746500 is a wasteful number, since it uses less digits than its factorization.

20120746500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 20120746500 in words is "twenty billion, one hundred twenty million, seven hundred forty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 929 1125 1500 1858 2250 2787 3716 4500 4645 4813 5574 8361 9290 9626 11148 13935 14439 16722 18580 19252 23225 24065 27870 28878 33444 41805 43317 46450 48130 55740 57756 69675 72195 83610 86634 92900 96260 116125 120325 139350 144390 167220 173268 209025 216585 232250 240650 278700 288780 348375 360975 418050 433170 464500 481300 601625 696750 721950 836100 866340 1045125 1082925 1203250 1393500 1443900 1804875 2090250 2165850 2406500 3609750 4180500 4331700 4471277 5414625 7219500 8942554 10829250 13413831 17885108 21658500 22356385 26827662 40241493 44712770 53655324 67069155 80482986 89425540 111781925 134138310 160965972 201207465 223563850 268276620 335345775 402414930 447127700 558909625 670691550 804829860 1006037325 1117819250 1341383100 1676728875 2012074650 2235638500 3353457750 4024149300 5030186625 6706915500 10060373250 20120746500