Search a number
-
+
203664860728 = 23729593136791
BaseRepresentation
bin1011110110101101011…
…1110010011000111000
3201110200202100220021221
42331223113302120320
511314101201020403
6233321244441424
720500001516110
oct2755327623070
9643622326257
10203664860728
117941256031a
123357ab49274
131628968b814
149c00b16040
155470098dbd
hex2f6b5f2638

203664860728 has 128 divisors (see below), whose sum is σ = 460660608000. Its totient is φ = 82569876480.

The previous prime is 203664860719. The next prime is 203664860771. The reversal of 203664860728 is 827068466302.

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, 29987013 + ... + 29993803.

It is an arithmetic number, because the mean of its divisors is an integer number (3598911000).

Almost surely, 2203664860728 is an apocalyptic number.

203664860728 is a gapful number since it is divisible by the number (28) 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 203664860728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230330304000).

203664860728 is an abundant number, since it is smaller than the sum of its proper divisors (256995747272).

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

203664860728 is a wasteful number, since it uses less digits than its factorization.

203664860728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7205 (or 7201 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 52.

The spelling of 203664860728 in words is "two hundred three billion, six hundred sixty-four million, eight hundred sixty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 59 116 118 203 232 236 313 406 413 472 626 812 826 1252 1624 1652 1711 2191 2504 3304 3422 4382 6791 6844 8764 9077 11977 13582 13688 17528 18154 18467 23954 27164 36308 36934 47537 47908 54328 63539 72616 73868 95074 95816 127078 129269 147736 190148 196939 254156 258538 380296 393878 400669 508312 517076 535543 787756 801338 1034152 1071086 1378573 1575512 1602676 2125583 2142172 2757146 2804683 3205352 3748801 4251166 4284344 5514292 5609366 7497602 8502332 11028584 11218732 11619401 14879081 14995204 17004664 22437464 23238802 29758162 29990408 46477604 59516324 61641907 81335807 92955208 119032648 123283814 125409397 162671614 246567628 250818794 325343228 431493349 493135256 501637588 650686456 862986698 877865779 1003275176 1725973396 1755731558 3451946792 3511463116 3636872513 7022926232 7273745026 14547490052 25458107591 29094980104 50916215182 101832430364 203664860728