Search a number
-
+
146748175168 = 267887369293
BaseRepresentation
bin1000100010101011011…
…1110111001101000000
3112000210010120200210211
42020222313313031000
54401020013101133
6151225402403504
713413361623250
oct2105267671500
9460703520724
10146748175168
1157265579011
1224535800594
1310ab8966a5a
147161955960
153c3d395bcd
hex222adf7340

146748175168 has 56 divisors (see below), whose sum is σ = 333180001152. Its totient is φ = 62821000704.

The previous prime is 146748175111. The next prime is 146748175169. The reversal of 146748175168 is 861571847641.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146748175169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212730 + ... + 582022.

Almost surely, 2146748175168 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 146748175168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166590000576).

146748175168 is an abundant number, since it is smaller than the sum of its proper divisors (186431825984).

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

146748175168 is an equidigital number, since it uses as much as digits as its factorization.

146748175168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370199 (or 370189 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 58.

The spelling of 146748175168 in words is "one hundred forty-six billion, seven hundred forty-eight million, one hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 887 1774 3548 6209 7096 12418 14192 24836 28384 49672 56768 99344 198688 369293 397376 738586 1477172 2585051 2954344 5170102 5908688 10340204 11817376 20680408 23634752 41360816 82721632 165443264 327562891 655125782 1310251564 2292940237 2620503128 4585880474 5241006256 9171760948 10482012512 18343521896 20964025024 36687043792 73374087584 146748175168