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18007223904 = 253276981307
BaseRepresentation
bin10000110001010100…
…000110111001100000
31201110221202202100200
4100301110012321200
5243334322131104
612134501145200
71205143610025
oct206124067140
951427682320
1018007223904
11770067692a
1235a66bb200
13190c88c697
14c2b78b54c
15705d33b39
hex431506e60

18007223904 has 72 divisors (see below), whose sum is σ = 51275264040. Its totient is φ = 5994528768.

The previous prime is 18007223893. The next prime is 18007223981. The reversal of 18007223904 is 40932270081.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×180072239042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 180819 + ... + 262125.

It is an arithmetic number, because the mean of its divisors is an integer number (712156445).

Almost surely, 218007223904 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 18007223904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25637632020).

18007223904 is an abundant number, since it is smaller than the sum of its proper divisors (33268040136).

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

18007223904 is a wasteful number, since it uses less digits than its factorization.

18007223904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82092 (or 82081 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 18007223904 its reverse (40932270081), we get a palindrome (58939493985).

The spelling of 18007223904 in words is "eighteen billion, seven million, two hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 769 1538 2307 3076 4614 6152 6921 9228 12304 13842 18456 24608 27684 36912 55368 73824 81307 110736 162614 221472 243921 325228 487842 650456 731763 975684 1300912 1463526 1951368 2601824 2927052 3902736 5854104 7805472 11708208 23416416 62525083 125050166 187575249 250100332 375150498 500200664 562725747 750300996 1000401328 1125451494 1500601992 2000802656 2250902988 3001203984 4501805976 6002407968 9003611952 18007223904