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56202542300 = 225217294492539
BaseRepresentation
bin110100010101111011…
…101011110011011100
312101001211222222002202
4310111323223303130
51410100322323200
641452531311032
74026515504312
oct642573536334
9171054888082
1056202542300
1121920962973
12aa8614b478
1353b8aa2cb8
142a123c40b2
1516de18a1d5
hexd15eebcdc

56202542300 has 144 divisors (see below), whose sum is σ = 133936740000. Its totient is φ = 20375470080.

The previous prime is 56202542293. The next prime is 56202542309. The reversal of 56202542300 is 324520265.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56202542309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22134431 + ... + 22136969.

It is an arithmetic number, because the mean of its divisors is an integer number (930116250).

Almost surely, 256202542300 is an apocalyptic number.

56202542300 is a gapful number since it is divisible by the number (50) 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 56202542300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66968370000).

56202542300 is an abundant number, since it is smaller than the sum of its proper divisors (77734197700).

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

56202542300 is a wasteful number, since it uses less digits than its factorization.

56202542300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 56202542300 in words is "fifty-six billion, two hundred two million, five hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 449 493 580 725 850 898 986 1450 1700 1796 1972 2245 2465 2539 2900 4490 4930 5078 7633 8980 9860 10156 11225 12325 12695 13021 15266 22450 24650 25390 26042 30532 38165 43163 44900 49300 50780 52084 63475 65105 73631 76330 86326 126950 130210 147262 152660 172652 190825 215815 221357 253900 260420 294524 325525 368155 381650 431630 442714 651050 736310 763300 863260 885428 1079075 1106785 1140011 1251727 1302100 1472620 1840775 2158150 2213570 2280022 2503454 3681550 4316300 4427140 4560044 5006908 5533925 5700055 6258635 7363100 11067850 11400110 12517270 19380187 22135700 22800220 25034540 28500275 31293175 33060319 38760374 57000550 62586350 66120638 77520748 96900935 114001100 125172700 132241276 165301595 193801870 330603190 387603740 484504675 562025423 661206380 826507975 969009350 1124050846 1653015950 1938018700 2248101692 2810127115 3306031900 5620254230 11240508460 14050635575 28101271150 56202542300