Search a number
-
+
11435368840 = 2357472773137
BaseRepresentation
bin10101010011001100…
…11110000110001000
31002111221122221000021
422221212132012020
5141404423300330
65130415350224
7553244013520
oct125146360610
932457587007
1011435368840
114938a70955
122271822374
1311031a084c
147a6a40680
1546dddc67a
hex2a999e188

11435368840 has 128 divisors (see below), whose sum is σ = 30148899840. Its totient is φ = 3822206976.

The previous prime is 11435368829. The next prime is 11435368891. The reversal of 11435368840 is 4886353411.

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, 3643752 + ... + 3646888.

It is an arithmetic number, because the mean of its divisors is an integer number (235538280).

Almost surely, 211435368840 is an apocalyptic number.

11435368840 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 11435368840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15074449920).

11435368840 is an abundant number, since it is smaller than the sum of its proper divisors (18713531000).

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

11435368840 is a wasteful number, since it uses less digits than its factorization.

11435368840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 11435368840 in words is "eleven billion, four hundred thirty-five million, three hundred sixty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 277 280 329 376 470 554 658 940 1108 1316 1385 1645 1880 1939 2216 2632 2770 3137 3290 3878 5540 6274 6580 7756 9695 11080 12548 13019 13160 15512 15685 19390 21959 25096 26038 31370 38780 43918 52076 62740 65095 77560 87836 91133 104152 109795 125480 130190 147439 175672 182266 219590 260380 294878 364532 439180 455665 520760 589756 729064 737195 868949 878360 911330 1032073 1179512 1474390 1737898 1822660 2064146 2948780 3475796 3645320 4128292 4344745 5160365 5897560 6082643 6951592 8256584 8689490 10320730 12165286 17378980 20641460 24330572 30413215 34757960 40840603 41282920 48661144 60826430 81681206 121652860 163362412 204203015 243305720 285884221 326724824 408406030 571768442 816812060 1143536884 1429421105 1633624120 2287073768 2858842210 5717684420 11435368840