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18359708004 = 223211220532
BaseRepresentation
bin10001000110010100…
…101110100101100100
31202101112000210122100
4101012110232211210
5300100041124004
612233452132100
71216653641331
oct210624564544
952345023570
1018359708004
117871638400
123684767030
131967905461
14c62503988
15726c5d739
hex44652e964

18359708004 has 81 divisors (see below), whose sum is σ = 51036692889. Its totient is φ = 5560837920.

The previous prime is 18359707973. The next prime is 18359708021. The reversal of 18359708004 is 40080795381.

The square root of 18359708004 is 135498.

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., 9477022500 + 8882685504 = 97350^2 + 94248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8941842 + ... + 8943894.

Almost surely, 218359708004 is an apocalyptic number.

18359708004 is the 135498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18359708004

18359708004 is an abundant number, since it is smaller than the sum of its proper divisors (32676984885).

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

18359708004 is a wasteful number, since it uses less digits than its factorization.

18359708004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 18359708004 in words is "eighteen billion, three hundred fifty-nine million, seven hundred eight thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2053 2178 4106 4356 6159 8212 12318 18477 22583 24636 36954 45166 67749 73908 90332 135498 203247 248413 270996 406494 496826 745239 812988 993652 1490478 2235717 2980956 4214809 4471434 8429618 8942868 12644427 16859236 25288854 37933281 46362899 50577708 75866562 92725798 139088697 151733124 185451596 278177394 417266091 509991889 556354788 834532182 1019983778 1529975667 1669064364 2039967556 3059951334 4589927001 6119902668 9179854002 18359708004