Search a number
-
+
11762204020 = 22573471912
BaseRepresentation
bin10101111010001010…
…01111110101110100
31010100201122212120221
422331011033311310
5143042111012040
65223052504124
7564323041000
oct127505176564
933321585527
1011762204020
114a96503a76
12234317b044
131155b05c48
147d81db700
1548c94c74a
hex2bd14fd74

11762204020 has 144 divisors (see below), whose sum is σ = 29573107200. Its totient is φ = 3926287680.

The previous prime is 11762204009. The next prime is 11762204039. The reversal of 11762204020 is 2040226711.

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, 61582125 + ... + 61582315.

It is an arithmetic number, because the mean of its divisors is an integer number (205368800).

Almost surely, 211762204020 is an apocalyptic number.

11762204020 is a gapful number since it is divisible by the number (10) 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 11762204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14786553600).

11762204020 is an abundant number, since it is smaller than the sum of its proper divisors (17810903180).

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

11762204020 is an equidigital number, since it uses as much as digits as its factorization.

11762204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The spelling of 11762204020 in words is "eleven billion, seven hundred sixty-two million, two hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 70 94 98 140 188 191 196 235 245 329 343 382 470 490 658 686 764 940 955 980 1316 1337 1372 1645 1715 1910 2303 2674 3290 3430 3820 4606 5348 6580 6685 6860 8977 9212 9359 11515 13370 16121 17954 18718 23030 26740 32242 35908 36481 37436 44885 46060 46795 62839 64484 65513 72962 80605 89770 93590 125678 131026 145924 161210 179540 182405 187180 251356 255367 262052 314195 322420 327565 364810 439873 510734 628390 655130 729620 879746 1021468 1256780 1276835 1310260 1714607 1759492 1787569 2199365 2553670 3079111 3429214 3575138 4398730 5107340 6158222 6858428 7150276 8573035 8797460 8937845 12002249 12316444 12512983 15395555 17146070 17875690 24004498 25025966 30791110 34292140 35751380 48008996 50051932 60011245 61582220 62564915 84015743 120022490 125129830 168031486 240044980 250259660 336062972 420078715 588110201 840157430 1176220402 1680314860 2352440804 2940551005 5881102010 11762204020