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18852388416 = 263419072
BaseRepresentation
bin10001100011101100…
…001001111001000000
31210122212002120010000
4101203230021321000
5302102202412131
612354412040000
71235115441351
oct214354117100
953585076100
1018852388416
117aa47554a4
1237a1763000
131a159c6a24
14cabb11d28
1575512cce6
hex463b09e40

18852388416 has 105 divisors (see below), whose sum is σ = 55913705419. Its totient is φ = 6280834176.

The previous prime is 18852388397. The next prime is 18852388441. The reversal of 18852388416 is 61488325881.

The square root of 18852388416 is 137304.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9884935 + ... + 9886841.

Almost surely, 218852388416 is an apocalyptic number.

18852388416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18852388416 is the 137304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18852388416

18852388416 is an abundant number, since it is smaller than the sum of its proper divisors (37061317003).

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

18852388416 is an frugal number, since it uses more digits than its factorization.

18852388416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 1912 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 18852388416 in words is "eighteen billion, eight hundred fifty-two million, three hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 1907 2592 3814 5184 5721 7628 11442 15256 17163 22884 30512 34326 45768 51489 61024 68652 91536 102978 122048 137304 154467 183072 205956 274608 308934 366144 411912 549216 617868 823824 1098432 1235736 1647648 2471472 3295296 3636649 4942944 7273298 9885888 10909947 14546596 21819894 29093192 32729841 43639788 58186384 65459682 87279576 98189523 116372768 130919364 174559152 196379046 232745536 261838728 294568569 349118304 392758092 523677456 589137138 698236608 785516184 1047354912 1178274276 1571032368 2094709824 2356548552 3142064736 4713097104 6284129472 9426194208 18852388416