Search a number
-
+
755942249556 = 2232131615261217
BaseRepresentation
bin10110000000000011010…
…10110101010001010100
32200021012220201010022200
423000001222311101110
544341132203441211
61335135225524500
7105420645050004
oct13000152652124
92607186633280
10755942249556
1127165876879a
1210260b643730
1356392335660
1428832cd0004
15149e5478b56
hexb001ab5454

755942249556 has 36 divisors (see below), whose sum is σ = 2057842791732. Its totient is φ = 232597615104.

The previous prime is 755942249539. The next prime is 755942249593. The reversal of 755942249556 is 655942249557.

755942249556 is a `hidden beast` number, since 7 + 5 + 5 + 94 + 2 + 2 + 495 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 411509420100 + 344432829456 = 641490^2 + 586884^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 755942249493 and 755942249502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 807630141 + ... + 807631076.

Almost surely, 2755942249556 is an apocalyptic number.

It is an amenable number.

755942249556 is an abundant number, since it is smaller than the sum of its proper divisors (1301900542176).

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

755942249556 is a wasteful number, since it uses less digits than its factorization.

755942249556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615261240 (or 1615261235 counting only the distinct ones).

The product of its digits is 136080000, while the sum is 63.

Subtracting from 755942249556 its reverse (655942249557), we obtain a palindrome (99999999999).

The spelling of 755942249556 in words is "seven hundred fifty-five billion, nine hundred forty-two million, two hundred forty-nine thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1615261217 3230522434 4845783651 6461044868 9691567302 14537350953 19383134604 20998395821 29074701906 41996791642 58149403812 62995187463 83993583284 125990374926 188985562389 251980749852 377971124778 755942249556