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18488985213924 = 2232137252312
BaseRepresentation
bin1000011010000110011010…
…11001010101101111100100
32102110112022011120021000100
410031003031121111233210
54410410420203321144
6103153420023144100
73615533201165241
oct415031531255744
972415264507010
1018488985213924
115989153167965
1220a73578a5030
13a41671b96944
1447cc2bb925c8
15220e1a9cb269
hex10d0cd655be4

18488985213924 has 81 divisors (see below), whose sum is σ = 47088676894441. Its totient is φ = 6116840137920.

The previous prime is 18488985213901. The next prime is 18488985213947. The reversal of 18488985213924 is 42931258988481.

The square root of 18488985213924 is 4299882.

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

18488985213924 is a `hidden beast` number, since 1 + 8 + 4 + 8 + 8 + 9 + 8 + 521 + 3 + 92 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (18488985213901) and next prime (18488985213947).

It can be written as a sum of positive squares in only one way, i.e., 10860517980900 + 7628467233024 = 3295530^2 + 2761968^2 .

It is a Duffinian number.

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, 3534500389 + ... + 3534505619.

Almost surely, 218488985213924 is an apocalyptic number.

18488985213924 is the 4299882-nd square number.

It is an amenable number.

18488985213924 is an abundant number, since it is smaller than the sum of its proper divisors (28599691680517).

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

18488985213924 is an frugal number, since it uses more digits than its factorization.

18488985213924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10746 (or 5373 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 72.

The spelling of 18488985213924 in words is "eighteen trillion, four hundred eighty-eight billion, nine hundred eighty-five million, two hundred thirteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 5231 10462 15693 18769 20924 31386 37538 47079 56307 62772 75076 94158 112614 168921 188316 225228 337842 675684 716647 1433294 2149941 2866588 4299882 6449823 8599764 12899646 25799292 27363361 54726722 82090083 98180639 109453444 164180166 196361278 246270249 294541917 328360332 392722556 492540498 589083834 883625751 985080996 1178167668 1767251502 3534503004 3748780457 7497560914 11246341371 14995121828 22492682742 33739024113 44985365484 67478048226 134956096452 513582922609 1027165845218 1540748767827 2054331690436 3081497535654 4622246303481 6162995071308 9244492606962 18488985213924