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148082808669184 = 210163223332
BaseRepresentation
bin100001101010111000110111…
…001101010100010000000000
3201102022120121112202012021001
4201222320313031110100000
5123402142043004403214
61242540145252141344
743122426021262654
oct4152706715242000
9642276545665231
10148082808669184
1143202625a8a264
1214737535007854
1364821c22b079c
14287d363744a64
15121be912bdc74
hex86ae37354400

148082808669184 has 99 divisors (see below), whose sum is σ = 297975948801573. Its totient is φ = 73555620728832.

The previous prime is 148082808669181. The next prime is 148082808669221. The reversal of 148082808669184 is 481966808280841.

The square root of 148082808669184 is 12168928.

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., 50692121625600 + 97390687043584 = 7119840^2 + 9868672^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148082808669181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63473127282 + ... + 63473129614.

Almost surely, 2148082808669184 is an apocalyptic number.

148082808669184 is the 12168928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148082808669184

148082808669184 is an abundant number, since it is smaller than the sum of its proper divisors (149893140132389).

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

148082808669184 is an frugal number, since it uses more digits than its factorization.

148082808669184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 73.

The spelling of 148082808669184 in words is "one hundred forty-eight trillion, eighty-two billion, eight hundred eight million, six hundred sixty-nine thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 163 256 326 512 652 1024 1304 2333 2608 4666 5216 9332 10432 18664 20864 26569 37328 41728 53138 74656 83456 106276 149312 166912 212552 298624 380279 425104 597248 760558 850208 1194496 1521116 1700416 2388992 3042232 3400832 5442889 6084464 6801664 10885778 12168928 13603328 21771556 24337856 27206656 43543112 48675712 61985477 87086224 97351424 123970954 174172448 194702848 247941908 348344896 389405696 495883816 696689792 887190907 991767632 1393379584 1774381814 1983535264 2786759168 3548763628 3967070528 5573518336 7097527256 7934141056 14195054512 15868282112 28390109024 31736564224 56780218048 63473128448 113560436096 144612117841 227120872192 289224235682 454241744384 578448471364 908483488768 1156896942728 2313793885456 4627587770912 9255175541824 18510351083648 37020702167296 74041404334592 148082808669184