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18093478144 = 287212012
BaseRepresentation
bin10000110110011101…
…001001000100000000
31201200222001220221011
4100312131021010000
5244023412300034
612151222010304
71210242012100
oct206635110400
951628056834
1018093478144
117745329a25
12360b576994
1319246cc6b1
14c39001200
1570d6c0864
hex436749100

18093478144 has 81 divisors (see below), whose sum is σ = 42047824581. Its totient is φ = 7747891200.

The previous prime is 18093478127. The next prime is 18093478201. The reversal of 18093478144 is 44187439081.

The square root of 18093478144 is 134512.

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., 30118144 + 18063360000 = 5488^2 + 134400^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 15064744 + ... + 15065944.

Almost surely, 218093478144 is an apocalyptic number.

18093478144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18093478144 is the 134512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18093478144

18093478144 is an abundant number, since it is smaller than the sum of its proper divisors (23954346437).

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

18093478144 is an frugal number, since it uses more digits than its factorization.

18093478144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 18093478144 by its sum of digits (49), we get a square (886580429056 = 9415842).

18093478144 divided by its sum of digits (49) gives a square (369254656 = 192162).

The spelling of 18093478144 in words is "eighteen billion, ninety-three million, four hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1201 1568 1792 2402 3136 4804 6272 8407 9608 12544 16814 19216 33628 38432 58849 67256 76864 117698 134512 153728 235396 269024 307456 470792 538048 941584 1076096 1442401 1883168 2152192 2884802 3766336 5769604 7532672 10096807 11539208 15065344 20193614 23078416 40387228 46156832 70677649 80774456 92313664 141355298 161548912 184627328 282710596 323097824 369254656 565421192 646195648 1130842384 1292391296 2261684768 2584782592 4523369536 9046739072 18093478144