Search a number
-
+
204957650196 = 2232134734926699
BaseRepresentation
bin1011111011100001101…
…1011000110100010100
3201121000211222102001100
42332320123120310110
511324223124301241
6234053425430100
720544020165445
oct2767033306424
9647024872040
10204957650196
1179a16283172
123387ba9b330
13164344707c0
149cc46bb2cc
1554e88129b6
hex2fb86d8d14

204957650196 has 144 divisors (see below), whose sum is σ = 571465440000. Its totient is φ = 61542948096.

The previous prime is 204957650179. The next prime is 204957650213. The reversal of 204957650196 is 691056759402.

204957650196 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 576 + 50 + 19 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (204957650179) and next prime (204957650213).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7663255 + ... + 7689953.

It is an arithmetic number, because the mean of its divisors is an integer number (3968510000).

Almost surely, 2204957650196 is an apocalyptic number.

204957650196 is a gapful number since it is divisible by the number (26) 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 204957650196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285732720000).

204957650196 is an abundant number, since it is smaller than the sum of its proper divisors (366507789804).

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

204957650196 is a wasteful number, since it uses less digits than its factorization.

204957650196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27118 (or 27113 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 204957650196 in words is "two hundred four billion, nine hundred fifty-seven million, six hundred fifty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 349 423 468 564 611 698 846 1047 1222 1396 1692 1833 2094 2444 3141 3666 4188 4537 5499 6282 7332 9074 10998 12564 13611 16403 18148 21996 26699 27222 32806 40833 49209 53398 54444 65612 80097 81666 98418 106796 147627 160194 163332 196836 213239 240291 295254 320388 347087 426478 480582 590508 639717 694174 852956 961164 1041261 1254853 1279434 1388348 1919151 2082522 2509706 2558868 3123783 3764559 3838302 4165044 5019412 6247566 7529118 7676604 9317951 11293677 12495132 15058236 16313089 18635902 22587354 27953853 32626178 37271804 45174708 48939267 55907706 65252356 83861559 97878534 111815412 121133363 146817801 167723118 195757068 242266726 293635602 335446236 363400089 437943697 484533452 587271204 726800178 875887394 1090200267 1313831091 1453600356 1751774788 2180400534 2627662182 3941493273 4360801068 5255324364 5693268061 7882986546 11386536122 15765973092 17079804183 22773072244 34159608366 51239412549 68319216732 102478825098 204957650196