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1218728896 = 267112231109
BaseRepresentation
bin100100010100100…
…0101001111000000
310010221020211202021
41020221011033000
54443443311041
6320533331224
742126011320
oct11051051700
93127224667
101218728896
11575a39070
122a0196b14
13165651178
14b7c07280
1571ed9cd1
hex48a453c0

1218728896 has 112 divisors (see below), whose sum is σ = 3031418880. Its totient is φ = 472273920.

The previous prime is 1218728881. The next prime is 1218728897. The reversal of 1218728896 is 6988278121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1218728897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1098390 + ... + 1099498.

It is an arithmetic number, because the mean of its divisors is an integer number (27066240).

Almost surely, 21218728896 is an apocalyptic number.

1218728896 is a gapful number since it is divisible by the number (16) 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 1218728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515709440).

1218728896 is an abundant number, since it is smaller than the sum of its proper divisors (1812689984).

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

1218728896 is a wasteful number, since it uses less digits than its factorization.

1218728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1352 counting only the distinct ones).

The product of its digits is 774144, while the sum is 52.

The square root of 1218728896 is about 34910.2978503478. The cubic root of 1218728896 is about 1068.1585049059.

The spelling of 1218728896 in words is "one billion, two hundred eighteen million, seven hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 223 224 308 352 446 448 616 704 892 1109 1232 1561 1784 2218 2453 2464 3122 3568 4436 4906 4928 6244 7136 7763 8872 9812 12199 12488 14272 15526 17171 17744 19624 24398 24976 31052 34342 35488 39248 48796 49952 62104 68684 70976 78496 85393 97592 99904 124208 137368 156992 170786 195184 247307 248416 274736 341572 390368 494614 496832 549472 683144 780736 989228 1098944 1366288 1731149 1978456 2720377 2732576 3462298 3956912 5440754 5465152 6924596 7913824 10881508 13849192 15827648 19042639 21763016 27698384 38085278 43526032 55396768 76170556 87052064 110793536 152341112 174104128 304682224 609364448 1218728896