Search a number
-
+
1058084148320 = 25531213323417
BaseRepresentation
bin11110110010110101011…
…10101101010001100000
310202011002200222212210122
433121122232231101200
5114313424020221240
62130024355215412
7136305211603223
oct17313256552140
93664080885718
101058084148320
11378804a10261
121510922a7568
1378a13b31c84
14392d66a75ba
151c7cabc94b5
hexf65abad460

1058084148320 has 48 divisors (see below), whose sum is σ = 2580360064128. Its totient is φ = 409580958720.

The previous prime is 1058084148311. The next prime is 1058084148361. The reversal of 1058084148320 is 238414808501.

It is a super-2 number, since 2×10580841483202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106656749 + ... + 106666668.

It is an arithmetic number, because the mean of its divisors is an integer number (53757501336).

Almost surely, 21058084148320 is an apocalyptic number.

1058084148320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1058084148320 is an abundant number, since it is smaller than the sum of its proper divisors (1522275915808).

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

1058084148320 is a wasteful number, since it uses less digits than its factorization.

1058084148320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213323463 (or 213323455 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The spelling of 1058084148320 in words is "one trillion, fifty-eight billion, eighty-four million, one hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 213323417 426646834 853293668 1066617085 1706587336 2133234170 3413174672 4266468340 6613025927 6826349344 8532936680 13226051854 17065873360 26452103708 33065129635 34131746720 52904207416 66130259270 105808414832 132260518540 211616829664 264521037080 529042074160 1058084148320