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204700048848 = 243217124966949
BaseRepresentation
bin1011111010100100010…
…0101101110111010000
3201120100220020220102200
42332221010231313100
511323211203030343
6234012104243200
720534441464221
oct2765104556720
9646326226380
10204700048848
11798a3928499
1233809770500
13163c2c99279
149c9c3c3248
1554d0dcb4d3
hex2fa912ddd0

204700048848 has 120 divisors (see below), whose sum is σ = 607069125000. Its totient is φ = 64167247872.

The previous prime is 204700048837. The next prime is 204700048849. The reversal of 204700048848 is 848840007402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 99459498384 + 105240550464 = 315372^2 + 324408^2 .

It is a super-2 number, since 2×2047000488482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204700048849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3024078 + ... + 3091026.

It is an arithmetic number, because the mean of its divisors is an integer number (5058909375).

Almost surely, 2204700048848 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 204700048848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303534562500).

204700048848 is an abundant number, since it is smaller than the sum of its proper divisors (402369076152).

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

204700048848 is a wasteful number, since it uses less digits than its factorization.

204700048848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68229 (or 68220 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 204700048848 in words is "two hundred four billion, seven hundred million, forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 1249 2448 2498 3747 4996 7494 9992 11241 14988 19984 21233 22482 29976 42466 44964 59952 63699 66949 84932 89928 127398 133898 169864 179856 191097 200847 254796 267796 339728 382194 401694 509592 535592 602541 764388 803388 1019184 1071184 1138133 1205082 1528776 1606776 2276266 2410164 3057552 3213552 3414399 4552532 4820328 6828798 9105064 9640656 10243197 13657596 18210128 20486394 27315192 40972788 54630384 81945576 83619301 163891152 167238602 250857903 334477204 501715806 668954408 752573709 1003431612 1337908816 1421528117 1505147418 2006863224 2843056234 3010294836 4013726448 4264584351 5686112468 6020589672 8529168702 11372224936 12041179344 12793753053 17058337404 22744449872 25587506106 34116674808 51175012212 68233349616 102350024424 204700048848