Search a number
-
+
126105545505264 = 243131069611889401
BaseRepresentation
bin11100101011000100111100…
…001111100111100111110000
3121112111120110021210210012020
4130223010330033213213300
5113012103124122132024
61124112030550231440
735363552655532563
oct3453047417474760
9545446407723166
10126105545505264
11371aa074966966
1212188124055580
135549918153460
14231d7805c04da
15e8a4645d5979
hex72b13c3e79f0

126105545505264 has 80 divisors (see below), whose sum is σ = 350835560232864. Its totient is φ = 38801323008000.

The previous prime is 126105545505263. The next prime is 126105545505301. The reversal of 126105545505264 is 462505545501621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126105545505263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65798964 + ... + 67688364.

Almost surely, 2126105545505264 is an apocalyptic number.

It is an amenable number.

126105545505264 is an abundant number, since it is smaller than the sum of its proper divisors (224730014727600).

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

126105545505264 is a wasteful number, since it uses less digits than its factorization.

126105545505264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996386 (or 1996380 counting only the distinct ones).

The product of its (nonzero) digits is 7200000, while the sum is 51.

The spelling of 126105545505264 in words is "one hundred twenty-six trillion, one hundred five billion, five hundred forty-five million, five hundred five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 106961 213922 320883 427844 641766 855688 1283532 1390493 1711376 1889401 2567064 2780986 3778802 4171479 5134128 5561972 5668203 7557604 8342958 11123944 11336406 15115208 16685916 22247888 22672812 24562213 30230416 33371832 45345624 49124426 66743664 73686639 90691248 98248852 147373278 196497704 294746556 392995408 589493112 1178986224 202092220361 404184440722 606276661083 808368881444 1212553322166 1616737762888 2425106644332 2627198864693 3233475525776 4850213288664 5254397729386 7881596594079 9700426577328 10508795458772 15763193188158 21017590917544 31526386376316 42035181835088 63052772752632 126105545505264