Search a number
-
+
18277590144 = 2731143251
BaseRepresentation
bin10001000001011011…
…011110010010000000
31202011210111210010010
4101001123132102000
5244413030341034
612221400104520
71214635644552
oct210133362200
952153453103
1018277590144
11782a250000
123661165140
1319538b30c8
14c556494d2
1571e93c3e9
hex4416de480

18277590144 has 160 divisors (see below), whose sum is σ = 53420929200. Its totient is φ = 5536960000.

The previous prime is 18277590101. The next prime is 18277590157. The reversal of 18277590144 is 44109577281.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 18277590093 and 18277590102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5620519 + ... + 5623769.

Almost surely, 218277590144 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 18277590144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26710464600).

18277590144 is an abundant number, since it is smaller than the sum of its proper divisors (35143339056).

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

18277590144 is an frugal number, since it uses more digits than its factorization.

18277590144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 18277590144 in words is "eighteen billion, two hundred seventy-seven million, five hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1331 1408 1452 1936 2112 2662 2904 3251 3872 3993 4224 5324 5808 6502 7744 7986 9753 10648 11616 13004 14641 15488 15972 19506 21296 23232 26008 29282 31944 35761 39012 42592 43923 46464 52016 58564 63888 71522 78024 85184 87846 104032 107283 117128 127776 143044 156048 170368 175692 208064 214566 234256 255552 286088 312096 351384 393371 416128 429132 468512 511104 572176 624192 702768 786742 858264 937024 1144352 1180113 1248384 1405536 1573484 1716528 1874048 2288704 2360226 2811072 3146968 3433056 4327081 4577408 4720452 5622144 6293936 6866112 8654162 9440904 12587872 12981243 13732224 17308324 18881808 25175744 25962486 34616648 37763616 47597891 50351488 51924972 69233296 75527232 95195782 103849944 138466592 142793673 151054464 190391564 207699888 276933184 285587346 380783128 415399776 553866368 571174692 761566256 830799552 1142349384 1523132512 1661599104 2284698768 3046265024 4569397536 6092530048 9138795072 18277590144