Search a number
-
+
195020891448 = 2331737102112653
BaseRepresentation
bin1011010110100000100…
…1101010010100111000
3200122101100012202121120
42311220021222110320
511143400322011243
6225331422305240
720042541140355
oct2655011522470
9618340182546
10195020891448
1175787233259
1231968128220
131550c8c66b6
149620adb62c
155116297c83
hex2d6826a538

195020891448 has 128 divisors (see below), whose sum is σ = 530745203520. Its totient is φ = 59466424320.

The previous prime is 195020891369. The next prime is 195020891491. The reversal of 195020891448 is 844198020591.

195020891448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 195020891448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15406690 + ... + 15419342.

Almost surely, 2195020891448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195020891448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265372601760).

195020891448 is an abundant number, since it is smaller than the sum of its proper divisors (335724312072).

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

195020891448 is a wasteful number, since it uses less digits than its factorization.

195020891448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13737 (or 13733 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 195020891448 in words is "one hundred ninety-five billion, twenty million, eight hundred ninety-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 68 74 102 111 136 148 204 222 296 408 444 629 888 1021 1258 1887 2042 2516 3063 3774 4084 5032 6126 7548 8168 12252 12653 15096 17357 24504 25306 34714 37777 37959 50612 52071 69428 75554 75918 101224 104142 113331 138856 151108 151836 208284 215101 226662 302216 303672 416568 430202 453324 468161 642209 645303 860404 906648 936322 1284418 1290606 1404483 1720808 1872644 1926627 2568836 2581212 2808966 3745288 3853254 5137672 5162424 5617932 7706508 7958737 11235864 12918713 15413016 15917474 23876211 25837426 31834948 38756139 47752422 51674852 63669896 77512278 95504844 103349704 155024556 191009688 219618121 310049112 439236242 477992381 658854363 878472484 955984762 1317708726 1433977143 1756944968 1911969524 2635417452 2867954286 3823939048 5270834904 5735908572 8125870477 11471817144 16251740954 24377611431 32503481908 48755222862 65006963816 97510445724 195020891448