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20430713644200 = 23325271159864739
BaseRepresentation
bin1001010010100111001010…
…11011011110010010101000
32200100011020120011122211100
410221103211123132102220
510134214100143103300
6111241423522201400
74206033062421036
oct451234533362250
980304216148740
1020430713644200
116567687251962
12235b7387b3260
13b527b9ac2a32
14508bcd555556
152566b2d73700
hex1294e56de4a8

20430713644200 has 144 divisors (see below), whose sum is σ = 69579529437600. Its totient is φ = 5371455196800.

The previous prime is 20430713644169. The next prime is 20430713644217. The reversal of 20430713644200 is 244631703402.

20430713644200 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 0 + 7 + 1 + 3 + 644 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×204307136442002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79804570 + ... + 80060169.

It is an arithmetic number, because the mean of its divisors is an integer number (483191176650).

Almost surely, 220430713644200 is an apocalyptic number.

20430713644200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20430713644200 is an abundant number, since it is smaller than the sum of its proper divisors (49148815793400).

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

20430713644200 is a wasteful number, since it uses less digits than its factorization.

20430713644200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159864832 (or 159864820 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 20430713644200 in words is "twenty trillion, four hundred thirty billion, seven hundred thirteen million, six hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 71 72 75 90 100 120 142 150 180 200 213 225 284 300 355 360 426 450 568 600 639 710 852 900 1065 1278 1420 1704 1775 1800 2130 2556 2840 3195 3550 4260 5112 5325 6390 7100 8520 10650 12780 14200 15975 21300 25560 31950 42600 63900 127800 159864739 319729478 479594217 639458956 799323695 959188434 1278917912 1438782651 1598647390 1918376868 2397971085 2877565302 3197294780 3836753736 3996618475 4795942170 5755130604 6394589560 7193913255 7993236950 9591884340 11350396469 11510261208 11989855425 14387826510 15986473900 19183768680 22700792938 23979710850 28775653020 31972947800 34051189407 35969566275 45401585876 47959421700 56751982345 57551306040 68102378814 71939132550 90803171752 95918843400 102153568221 113503964690 136204757628 143878265100 170255947035 204307136442 227007929380 272409515256 283759911725 287756530200 340511894070 408614272884 454015858760 510767841105 567519823450 681023788140 817228545768 851279735175 1021535682210 1135039646900 1362047576280 1702559470350 2043071364420 2270079293800 2553839205525 3405118940700 4086142728840 5107678411050 6810237881400 10215356822100 20430713644200