Search a number
-
+
1960393940592 = 243371459756563
BaseRepresentation
bin11100100001110000100…
…101011001111001110000
320221102010020001120100220
4130201300211121321300
5224104341322044332
64100331553413040
7261430250361063
oct34416045317160
96842106046326
101960393940592
116964422aa18a
12277b2bb6a180
13112b30cb1369
146ac5274a8da
1535edadadd2c
hex1c870959e70

1960393940592 has 80 divisors (see below), whose sum is σ = 5204797169280. Its totient is φ = 635366820096.

The previous prime is 1960393940587. The next prime is 1960393940597. The reversal of 1960393940592 is 2950493930691.

It is an interprime number because it is at equal distance from previous prime (1960393940587) and next prime (1960393940597).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960393940597) by changing a digit.

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, 2212903 + ... + 2969465.

It is an arithmetic number, because the mean of its divisors is an integer number (65059964616).

Almost surely, 21960393940592 is an apocalyptic number.

1960393940592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960393940592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602398584640).

1960393940592 is an abundant number, since it is smaller than the sum of its proper divisors (3244403228688).

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

1960393940592 is a wasteful number, since it uses less digits than its factorization.

1960393940592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758070 (or 758064 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 60.

Subtracting 1960393940592 from its reverse (2950493930691), we obtain a palindrome (990099990099).

The spelling of 1960393940592 in words is "one trillion, nine hundred sixty billion, three hundred ninety-three million, nine hundred forty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1459 1776 2918 4377 5836 8754 11672 17508 23344 35016 53983 70032 107966 161949 215932 323898 431864 647796 756563 863728 1295592 1513126 2269689 2591184 3026252 4539378 6052504 9078756 12105008 18157512 27992831 36315024 55985662 83978493 111971324 167956986 223942648 335913972 447885296 671827944 1103825417 1343655888 2207650834 3311476251 4415301668 6622952502 8830603336 13245905004 17661206672 26491810008 40841540429 52983620016 81683080858 122524621287 163366161716 245049242574 326732323432 490098485148 653464646864 980196970296 1960393940592