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1869903093136 = 24132262972
BaseRepresentation
bin11011001101011110111…
…010001101110110010000
320121202112202120020010011
4123031132322031312100
5221114030142440021
63551004400444304
7252044641020301
oct33153672156620
96552482506104
101869903093136
11661026603141
12262496919694
1310743c58cc00
146670a59a7a8
15339918c5de1
hex1b35ee8dd90

1869903093136 has 45 divisors (see below), whose sum is σ = 3923211410211. Its totient is φ = 862999378176.

The previous prime is 1869903093089. The next prime is 1869903093137. The reversal of 1869903093136 is 6313903099681.

The square root of 1869903093136 is 1367444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 306202862736 + 1563700230400 = 553356^2 + 1250480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1869903093137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71093940 + ... + 71120236.

Almost surely, 21869903093136 is an apocalyptic number.

1869903093136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1869903093136 is the 1367444-th square number.

It is an amenable number.

1869903093136 is an abundant number, since it is smaller than the sum of its proper divisors (2053308317075).

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

1869903093136 is an frugal number, since it uses more digits than its factorization.

1869903093136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52628 (or 26312 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 58.

The spelling of 1869903093136 in words is "one trillion, eight hundred sixty-nine billion, nine hundred three million, ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 26297 52594 105188 210376 341861 420752 683722 1367444 2734888 4444193 5469776 8888386 17776772 35553544 71107088 691532209 1383064418 2766128836 5532257672 8989918717 11064515344 17979837434 35959674868 71919349736 116868943321 143838699472 233737886642 467475773284 934951546568 1869903093136