Search a number
-
+
148446358653424 = 24137912619715903
BaseRepresentation
bin100001110000001011011100…
…011110011100100111110000
3201110121022222222011220122011
4201300023130132130213300
5123424121120303402144
61243415152110052304
743160616103203316
oct4160133436344760
9643538888156564
10148446358653424
1143332824520297
1214795a951aa094
1364aa57c187060
142892bb09ca0b6
15122666cbb2a34
hex8702dc79c9f0

148446358653424 has 80 divisors (see below), whose sum is σ = 313685078425600. Its totient is φ = 67640986752768.

The previous prime is 148446358653377. The next prime is 148446358653451. The reversal of 148446358653424 is 424356853644841.

It is a self number, because there is not a number n which added to its sum of digits gives 148446358653424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206997457 + ... + 207713359.

It is an arithmetic number, because the mean of its divisors is an integer number (3921063480320).

Almost surely, 2148446358653424 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 148446358653424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156842539212800).

148446358653424 is an abundant number, since it is smaller than the sum of its proper divisors (165238719772176).

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

148446358653424 is a wasteful number, since it uses less digits than its factorization.

148446358653424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728622 (or 728616 counting only the distinct ones).

The product of its digits is 1061683200, while the sum is 67.

The spelling of 148446358653424 in words is "one hundred forty-eight trillion, four hundred forty-six billion, three hundred fifty-eight million, six hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 208 316 632 1027 1264 2054 4108 8216 12619 16432 25238 50476 100952 164047 201904 328094 656188 715903 996901 1312376 1431806 1993802 2624752 2863612 3987604 5727224 7975208 9306739 11454448 12959713 15950416 18613478 25919426 37226956 51838852 56556337 74453912 103677704 113112674 148907824 207355408 226225348 452450696 735232381 904901392 1470464762 2940929524 5881859048 9033979957 11763718096 18067959914 36135919828 72271839656 117441739441 144543679312 234883478882 469766957764 713684416603 939533915528 1427368833206 1879067831056 2854737666412 5709475332824 9277897415839 11418950665648 18555794831678 37111589663356 74223179326712 148446358653424