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11494860900 = 22352831792579
BaseRepresentation
bin10101011010010010…
…11010100001100100
31002200002121102202220
422231021122201210
5142020141022100
65140342432340
7554565463665
oct125511324144
932602542686
1011494860900
114969605146
1222897326b0
131112600553
147b08c936c
1547423eaa0
hex2ad25a864

11494860900 has 144 divisors (see below), whose sum is σ = 33860332800. Its totient is φ = 3010279040.

The previous prime is 11494860841. The next prime is 11494860917. The reversal of 11494860900 is 906849411.

It is a super-2 number, since 2×114948609002 (a number of 21 digits) contains 22 as substring.

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, 4455811 + ... + 4458389.

It is an arithmetic number, because the mean of its divisors is an integer number (235141200).

Almost surely, 211494860900 is an apocalyptic number.

11494860900 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 11494860900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16930166400).

11494860900 is an abundant number, since it is smaller than the sum of its proper divisors (22365471900).

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

11494860900 is a wasteful number, since it uses less digits than its factorization.

11494860900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 11494860900 in words is "eleven billion, four hundred ninety-four million, eight hundred sixty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 179 249 300 332 358 415 498 537 716 830 895 996 1074 1245 1660 1790 2075 2148 2490 2579 2685 3580 4150 4475 4980 5158 5370 6225 7737 8300 8950 10316 10740 12450 12895 13425 14857 15474 17900 24900 25790 26850 29714 30948 38685 44571 51580 53700 59428 64475 74285 77370 89142 128950 148570 154740 178284 193425 214057 222855 257900 297140 371425 386850 428114 445710 461641 642171 742850 773700 856228 891420 923282 1070285 1114275 1284342 1384923 1485700 1846564 2140570 2228550 2308205 2568684 2769846 3210855 4281140 4457100 4616410 5351425 5539692 6421710 6924615 9232820 10702850 11541025 12843420 13849230 16054275 21405700 23082050 27698460 32108550 34623075 38316203 46164100 64217100 69246150 76632406 114948609 138492300 153264812 191581015 229897218 383162030 459794436 574743045 766324060 957905075 1149486090 1915810150 2298972180 2873715225 3831620300 5747430450 11494860900