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1218149604 = 2234722772
BaseRepresentation
bin100100010011011…
…0111110011100100
310010220011102010000
41020212313303210
54443321241404
6320513101300
742121046400
oct11046676344
93126142100
101218149604
11575682911
1229bb57830
131654aa5a9
14b7ad6100
1571e23339
hex489b7ce4

1218149604 has 135 divisors (see below), whose sum is σ = 3717820953. Its totient is φ = 346786272.

The previous prime is 1218149573. The next prime is 1218149609. The reversal of 1218149604 is 4069418121.

The square root of 1218149604 is 34902.

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

1218149604 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 1 + 49 + 604 = 666.

1218149604 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 209960100 + 1008189504 = 14490^2 + 31752^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1218149609) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4397514 + ... + 4397790.

Almost surely, 21218149604 is an apocalyptic number.

1218149604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1218149604 is the 34902-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1218149604

1218149604 is an abundant number, since it is smaller than the sum of its proper divisors (2499671349).

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

1218149604 is an equidigital number, since it uses as much as digits as its factorization.

1218149604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The cubic root of 1218149604 is about 1067.9892373616.

Multiplying 1218149604 by its sum of digits (36), we get a square (43853385744 = 2094122).

1218149604 divided by its sum of digits (36) gives a square (33837489 = 58172).

The spelling of 1218149604 in words is "one billion, two hundred eighteen million, one hundred forty-nine thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 277 294 324 378 441 554 567 588 756 831 882 1108 1134 1323 1662 1764 1939 2268 2493 2646 3324 3878 3969 4986 5292 5817 7479 7756 7938 9972 11634 13573 14958 15876 17451 22437 23268 27146 29916 34902 40719 44874 52353 54292 69804 76729 81438 89748 104706 122157 153458 157059 162876 209412 230187 244314 306916 314118 366471 460374 488628 537103 628236 690561 732942 920748 1074206 1099413 1381122 1465884 1611309 2071683 2148412 2198826 2762244 3222618 3759721 4143366 4397652 4833927 6215049 6445236 7519442 8286732 9667854 11279163 12430098 14501781 15038884 19335708 22558326 24860196 29003562 33837489 43505343 45116652 58007124 67674978 87010686 101512467 135349956 174021372 203024934 304537401 406049868 609074802 1218149604