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204638751772 = 227132532233659
BaseRepresentation
bin1011111010010101101…
…0111000110000011100
3201120012121220200122121
42332211122320300130
511323100010024042
6234002034352324
720533065455440
oct2764532706034
9646177820577
10204638751772
1179872271054
12337b112b6a4
13163b3386b00
149c941c8820
1554ca81e367
hex2fa56b8c1c

204638751772 has 144 divisors (see below), whose sum is σ = 453692897280. Its totient is φ = 79050726144.

The previous prime is 204638751697. The next prime is 204638751773. The reversal of 204638751772 is 277157836402.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204638751773) 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, 55925679 + ... + 55929337.

It is an arithmetic number, because the mean of its divisors is an integer number (3150645120).

Almost surely, 2204638751772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204638751772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226846448640).

204638751772 is an abundant number, since it is smaller than the sum of its proper divisors (249054145508).

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

204638751772 is a wasteful number, since it uses less digits than its factorization.

204638751772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

The spelling of 204638751772 in words is "two hundred four billion, six hundred thirty-eight million, seven hundred fifty-one thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 169 182 212 223 338 364 371 446 676 689 742 892 1183 1378 1484 1561 2366 2756 2899 3122 3659 4732 4823 5798 6244 7318 8957 9646 11596 11819 14636 17914 19292 20293 23638 25613 35828 37687 40586 47276 47567 51226 62699 75374 81172 82733 95134 102452 125398 150748 153647 165466 190268 193927 250796 263809 307294 330932 332969 387854 527618 614588 618371 665938 775708 815957 1055236 1075529 1236742 1331876 1357489 1631914 1997411 2151058 2473484 2521051 2714978 3263828 3994822 4302116 4328597 5042102 5429956 5711699 7989644 8657194 10084204 10607441 11423398 13981877 17314388 17647357 21214882 22846796 27963754 32773663 35294714 42429764 43245721 55927508 65547326 70589428 74252087 86491442 131094652 137896733 148504174 172982884 229415641 275793466 297008348 302720047 458831282 551586932 562194373 605440094 917662564 965277131 1124388746 1210880188 1930554262 2248777492 3861108524 3935360611 7308526849 7870721222 14617053698 15741442444 29234107396 51159687943 102319375886 204638751772