Search a number
-
+
376201171164 = 223713439784753
BaseRepresentation
bin1010111100101110101…
…01100101000011011100
31022222001002212121020210
411132113111211003130
522130424444434124
6444454024412420
736115421123250
oct5362725450334
91288032777223
10376201171164
11135600832015
1260ab1017110
1329624c193c0
14142cb572260
159bbc3e3a29
hex57975650dc

376201171164 has 96 divisors (see below), whose sum is σ = 1082834959360. Its totient is φ = 98991756288.

The previous prime is 376201171163. The next prime is 376201171189. The reversal of 376201171164 is 461171102673.

It is a happy number.

It is a super-2 number, since 2×3762011711642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376201171163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87012 + ... + 871764.

Almost surely, 2376201171164 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 376201171164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541417479680).

376201171164 is an abundant number, since it is smaller than the sum of its proper divisors (706633788196).

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

376201171164 is a wasteful number, since it uses less digits than its factorization.

376201171164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785219 (or 785217 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 376201171164 in words is "three hundred seventy-six billion, two hundred one million, one hundred seventy-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 439 546 878 1092 1317 1756 2634 3073 5268 5707 6146 9219 11414 12292 17121 18438 22828 34242 36876 39949 68484 79898 119847 159796 239694 479388 784753 1569506 2354259 3139012 4708518 5493271 9417036 10201789 10986542 16479813 20403578 21973084 30605367 32959626 40807156 61210734 65919252 71412523 122421468 142825046 214237569 285650092 344506567 428475138 689013134 856950276 1033519701 1378026268 2067039402 2411545969 4134078804 4478585371 4823091938 7234637907 8957170742 9646183876 13435756113 14469275814 17914341484 26871512226 28938551628 31350097597 53743024452 62700195194 94050292791 125400390388 188100585582 376201171164