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5878510590096 = 2434673492
BaseRepresentation
bin101010110001011001010…
…0010010001100010010000
3202210222110111210002010000
41111202302202101202100
51232303142202340341
620300314523210000
71144464654365634
oct125426242214220
922728414702100
105878510590096
111967075a80661
127ab365376900
133384587207c1
14164742b3cdc4
15a2da837a8b6
hex558b2891890

5878510590096 has 75 divisors (see below), whose sum is σ = 17014367771401. Its totient is φ = 1959474435264.

The previous prime is 5878510590091. The next prime is 5878510590107. The reversal of 5878510590096 is 6900950158785.

The square root of 5878510590096 is 2424564.

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

It can be written as a sum of positive squares in only one way, i.e., 1571012496 + 5876939577600 = 39636^2 + 2424240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5878510590091) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 87250630 + ... + 87317978.

Almost surely, 25878510590096 is an apocalyptic number.

5878510590096 is the 2424564-th square number.

It is an amenable number.

5878510590096 is an abundant number, since it is smaller than the sum of its proper divisors (11135857181305).

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

5878510590096 is an frugal number, since it uses more digits than its factorization.

5878510590096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134718 (or 67354 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 63.

The spelling of 5878510590096 in words is "five trillion, eight hundred seventy-eight billion, five hundred ten million, five hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 67349 134698 202047 269396 404094 538792 606141 808188 1077584 1212282 1616376 1818423 2424564 3232752 3636846 4849128 5455269 7273692 9698256 10910538 14547384 21821076 29094768 43642152 87284304 4535887801 9071775602 13607663403 18143551204 27215326806 36287102408 40822990209 54430653612 72574204816 81645980418 108861307224 122468970627 163291960836 217722614448 244937941254 326583921672 367406911881 489875882508 653167843344 734813823762 979751765016 1469627647524 1959503530032 2939255295048 5878510590096