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204475274000 = 24531733831543
BaseRepresentation
bin1011111001101110101…
…1010001001100010000
3201112210020022011022022
42332123223101030100
511322231132232000
6233533514431012
720526042103034
oct2763353211420
9645706264268
10204475274000
1179798a63858
1233766432468
13163885493ba
149c7a5d21c4
1554bb2cb585
hex2f9bad1310

204475274000 has 160 divisors (see below), whose sum is σ = 498900639744. Its totient is φ = 81052454400.

The previous prime is 204475273997. The next prime is 204475274039. The reversal of 204475274000 is 472574402.

204475274000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132517229 + ... + 132518771.

Almost surely, 2204475274000 is an apocalyptic number.

204475274000 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 204475274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249450319872).

204475274000 is an abundant number, since it is smaller than the sum of its proper divisors (294425365744).

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

204475274000 is a wasteful number, since it uses less digits than its factorization.

204475274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 35.

The spelling of 204475274000 in words is "two hundred four billion, four hundred seventy-five million, two hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 173 200 250 346 383 400 500 692 766 865 1000 1384 1532 1543 1730 1915 2000 2768 3064 3086 3460 3830 4325 6128 6172 6920 7660 7715 8650 9575 12344 13840 15320 15430 17300 19150 21625 24688 30640 30860 34600 38300 38575 43250 47875 61720 66259 69200 76600 77150 86500 95750 123440 132518 153200 154300 173000 191500 192875 265036 266939 308600 331295 346000 383000 385750 530072 533878 590969 617200 662590 766000 771500 1060144 1067756 1181938 1325180 1334695 1543000 1656475 2135512 2363876 2650360 2669390 2954845 3086000 3312950 4271024 4727752 5300720 5338780 5909690 6625900 6673475 8282375 9455504 10677560 11819380 13251800 13346950 14774225 16564750 21355120 23638760 26503600 26693900 29548450 33129500 33367375 47277520 53387800 59096900 66259000 66734750 73871125 102237637 106775600 118193800 132518000 133469500 147742250 204475274 236387600 266939000 295484500 408950548 511188185 533878000 590969000 817901096 1022376370 1181938000 1635802192 2044752740 2555940925 4089505480 5111881850 8179010960 10223763700 12779704625 20447527400 25559409250 40895054800 51118818500 102237637000 204475274000