Search a number
-
+
1592130406768 = 2411106915535449
BaseRepresentation
bin10111001010110010010…
…111100000100101110000
312122012120022020201112021
4113022302113200211300
5202041140341004033
63215225320041224
7223012322110366
oct27126227404560
95565508221467
101592130406768
11564245120630
12218695303214
13b71a27118b5
14570b948b636
152b635797b2d
hex172b25e0970

1592130406768 has 80 divisors (see below), whose sum is σ = 3371120172000. Its totient is φ = 722420490240.

The previous prime is 1592130406751. The next prime is 1592130406799. The reversal of 1592130406768 is 8676040312951.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 292184908 + ... + 292190356.

It is an arithmetic number, because the mean of its divisors is an integer number (42139002150).

It is a 1-persistent number, because it is pandigital, but 2⋅1592130406768 = 3184260813536 is not.

Almost surely, 21592130406768 is an apocalyptic number.

It is an amenable number.

1592130406768 is an abundant number, since it is smaller than the sum of its proper divisors (1778989765232).

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

1592130406768 is a wasteful number, since it uses less digits than its factorization.

1592130406768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8090 (or 8084 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 1592130406768 in words is "one trillion, five hundred ninety-two billion, one hundred thirty million, four hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 1069 1553 2138 3106 4276 5449 6212 8552 10898 11759 12424 17083 17104 21796 23518 24848 34166 43592 47036 59939 68332 87184 94072 119878 136664 188144 239756 273328 479512 959024 1660157 3320314 5824981 6640628 8462297 11649962 13281256 16924594 18261727 23299924 26562512 33849188 36523454 46599848 64074791 67698376 73046908 93085267 93199696 128149582 135396752 146093816 186170534 256299164 292187632 372341068 512598328 744682136 1025196656 1489364272 9046195493 18092390986 36184781972 72369563944 99508150423 144739127888 199016300846 398032601692 796065203384 1592130406768