Search a number
-
+
205194258396 = 223373115322573
BaseRepresentation
bin1011111100011010000…
…1111110011111011100
3201121122100012100111000
42333012201332133130
511330214212232041
6234133121030300
720552622263331
oct2770641763734
9647570170430
10205194258396
117a02789a436
1233927185390
13164714a485a
149d07cac988
15550e49dbb6
hex2fc687e7dc

205194258396 has 96 divisors (see below), whose sum is σ = 539764205120. Its totient is φ = 67399630848.

The previous prime is 205194258359. The next prime is 205194258419. The reversal of 205194258396 is 693852491502.

205194258396 is a `hidden beast` number, since 2 + 0 + 5 + 19 + 42 + 583 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9078966 + ... + 9101538.

Almost surely, 2205194258396 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 205194258396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269882102560).

205194258396 is an abundant number, since it is smaller than the sum of its proper divisors (334569946724).

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

205194258396 is a wasteful number, since it uses less digits than its factorization.

205194258396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23812 (or 23804 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 205194258396 in words is "two hundred five billion, one hundred ninety-four million, two hundred fifty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1153 1314 1971 2306 2628 3459 3942 4612 6918 7884 10377 13836 20754 22573 31131 41508 45146 62262 67719 84169 90292 124524 135438 168338 203157 252507 270876 336676 406314 505014 609471 757521 812628 1010028 1218942 1515042 1647829 2272563 2437884 3030084 3295658 4545126 4943487 6591316 9090252 9886974 14830461 19773948 26026669 29660922 44491383 52053338 59321844 78080007 88982766 104106676 156160014 177965532 234240021 312320028 468480042 702720063 936960084 1405440126 1899946837 2810880252 3799893674 5699840511 7599787348 11399681022 17099521533 22799362044 34199043066 51298564599 68398086132 102597129198 205194258396