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75242199900 = 22352725118517
BaseRepresentation
bin100011000010011001…
…0001101101101011100
321012012202110210020110
41012010302031231130
52213044000344100
654322113250020
75302400101200
oct1060462155534
9235182423213
1075242199900
1129a0129548a
12126ba563910
13713151749a
1438dad22b00
151e5595a250
hex1184c8db5c

75242199900 has 108 divisors (see below), whose sum is σ = 253243796568. Its totient is φ = 17198213760.

The previous prime is 75242199899. The next prime is 75242199911. The reversal of 75242199900 is 999124257.

It is a super-2 number, since 2×752421999002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 75242199900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2544559 + ... + 2573958.

Almost surely, 275242199900 is an apocalyptic number.

75242199900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75242199900 is an abundant number, since it is smaller than the sum of its proper divisors (178001596668).

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

75242199900 is a wasteful number, since it uses less digits than its factorization.

75242199900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118548 (or 5118534 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 75242199900 in words is "seventy-five billion, two hundred forty-two million, one hundred ninety-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 14700 5118517 10237034 15355551 20474068 25592585 30711102 35829619 51185170 61422204 71659238 76777755 102370340 107488857 127962925 143318476 153555510 179148095 214977714 250807333 255925850 307111020 358296190 383888775 429955428 501614666 511851700 537444285 716592380 752421999 767777550 895740475 1003229332 1074888570 1254036665 1504843998 1535555100 1791480950 2149777140 2508073330 2687221425 3009687996 3582961900 3762109995 5016146660 5374442850 6270183325 7524219990 10748885700 12540366650 15048439980 18810549975 25080733300 37621099950 75242199900