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18938929164544 = 28101226932
BaseRepresentation
bin1000100111001100100000…
…01001010011000100000000
32111001112200112111012100001
410103212100021103010000
54440243411331231134
6104140231323405344
73663202214520604
oct423462011230400
974045615435301
1018938929164544
116041a5585a604
12215a5a9083854
13a74c1977bc8c
14496913055504
1522c9a1d97414
hex113990253100

18938929164544 has 81 divisors (see below), whose sum is σ = 38196063319519. Its totient is φ = 9372225996800.

The previous prime is 18938929164527. The next prime is 18938929164553. The reversal of 18938929164544 is 44546192983981.

The square root of 18938929164544 is 4351888.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4287550009600 + 14651379154944 = 2070640^2 + 3827712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7032649662 + ... + 7032652354.

Almost surely, 218938929164544 is an apocalyptic number.

18938929164544 is the 4351888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18938929164544

18938929164544 is an abundant number, since it is smaller than the sum of its proper divisors (19257134154975).

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

18938929164544 is an frugal number, since it uses more digits than its factorization.

18938929164544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604 (or 2796 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 73.

The spelling of 18938929164544 in words is "eighteen trillion, nine hundred thirty-eight billion, nine hundred twenty-nine million, one hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1616 2693 3232 5386 6464 10201 10772 12928 20402 21544 25856 40804 43088 81608 86176 163216 172352 271993 326432 344704 543986 652864 689408 1087972 1305728 2175944 2611456 4351888 7252249 8703776 14504498 17407552 27471293 29008996 34815104 54942586 58017992 69630208 109885172 116035984 219770344 232071968 439540688 464143936 732477149 879081376 928287872 1464954298 1758162752 1856575744 2929908596 3516325504 5859817192 7032651008 11719634384 23439268768 46878537536 73980192049 93757075072 147960384098 187514150144 295920768196 591841536392 1183683072784 2367366145568 4734732291136 9469464582272 18938929164544