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18978919696 = 241123121012
BaseRepresentation
bin10001101011001110…
…110101010100010000
31210222200012000101201
4101223032311110100
5302332100412241
612415132040544
71241213104252
oct215316652420
953880160351
1018978919696
11805a118300
123818003154
131a35c996c9
14cc084bcd2
157612c3931
hex46b3b5510

18978919696 has 135 divisors (see below), whose sum is σ = 42181914117. Its totient is φ = 8265840000.

The previous prime is 18978919651. The next prime is 18978919699. The reversal of 18978919696 is 69691987981.

The square root of 18978919696 is 137764.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18234721296 + 744198400 = 135036^2 + 27280^2 .

It is not an unprimeable number, because it can be changed into a prime (18978919699) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 187910046 + ... + 187910146.

Almost surely, 218978919696 is an apocalyptic number.

18978919696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18978919696 is the 137764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18978919696

18978919696 is an abundant number, since it is smaller than the sum of its proper divisors (23202994421).

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

18978919696 is a wasteful number, since it uses less digits than its factorization.

18978919696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 145 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 73.

The spelling of 18978919696 in words is "eighteen billion, nine hundred seventy-eight million, nine hundred nineteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 101 121 124 176 202 242 248 341 404 484 496 682 808 961 968 1111 1364 1616 1922 1936 2222 2728 3131 3751 3844 4444 5456 6262 7502 7688 8888 10201 10571 12221 12524 15004 15376 17776 20402 21142 24442 25048 30008 34441 40804 42284 48884 50096 60016 68882 81608 84568 97061 97768 112211 116281 137764 163216 169136 194122 195536 224422 232562 275528 316231 378851 388244 448844 465124 551056 632462 757702 776488 897688 930248 1067671 1234321 1264924 1515404 1552976 1795376 1860496 2135342 2468642 2529848 3030808 3478541 4270684 4937284 5059696 6061616 6957082 8541368 9803161 9874568 11744381 13914164 17082736 19606322 19749136 23488762 27828328 38263951 39212644 46977524 55656656 76527902 78425288 93955048 107834771 153055804 156850576 187910096 215669542 306111608 431339084 612223216 862678168 1186182481 1725356336 2372364962 4744729924 9489459848 18978919696