Search a number
-
+
1058605385288 = 231112671949381
BaseRepresentation
bin11110110011110011100…
…11000100011001001000
310202012110000210110111112
433121321303010121020
5114321010434312123
62130152215145452
7136324141210433
oct17317163043110
93665400713445
101058605385288
11378a52162310
121511b8975288
1378a97b11509
14393459ca81a
151c80b839d78
hexf679cc4648

1058605385288 has 32 divisors (see below), whose sum is σ = 2165502366720. Its totient is φ = 481145784000.

The previous prime is 1058605385287. The next prime is 1058605385303. The reversal of 1058605385288 is 8825835068501.

1058605385288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10586053852882 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1058605385287) 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, 640358 + ... + 1589738.

It is an arithmetic number, because the mean of its divisors is an integer number (67671948960).

Almost surely, 21058605385288 is an apocalyptic number.

It is an amenable number.

1058605385288 is an abundant number, since it is smaller than the sum of its proper divisors (1106896981432).

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

1058605385288 is a wasteful number, since it uses less digits than its factorization.

1058605385288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962069 (or 962065 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 59.

The spelling of 1058605385288 in words is "one trillion, fifty-eight billion, six hundred five million, three hundred eighty-five thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 22 44 88 12671 25342 50684 101368 139381 278762 557524 949381 1115048 1898762 3797524 7595048 10443191 20886382 41772764 83545528 12029606651 24059213302 48118426604 96236853208 132325673161 264651346322 529302692644 1058605385288