Search a number
-
+
2629743164724 = 22313612411146679
BaseRepresentation
bin100110010001001000111…
…010000011110100110100
3100022101211022201020001210
4212101020322003310310
5321041203222232344
65332030510321420
7360664326041034
oct46211072036464
910271738636053
102629743164724
119242a4506255
123657b37b9270
13160ca32c0020
14913cd0038c4
154861413edb9
hex26448e83d34

2629743164724 has 96 divisors (see below), whose sum is σ = 6744276394240. Its totient is φ = 792583833600.

The previous prime is 2629743164689. The next prime is 2629743164771. The reversal of 2629743164724 is 4274613479262.

It is a super-2 number, since 2×26297431647242 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1720017 + ... + 2866695.

Almost surely, 22629743164724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2629743164724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372138197120).

2629743164724 is an abundant number, since it is smaller than the sum of its proper divisors (4114533229516).

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

2629743164724 is a wasteful number, since it uses less digits than its factorization.

2629743164724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147001 (or 1146999 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 57.

The spelling of 2629743164724 in words is "two trillion, six hundred twenty-nine billion, seven hundred forty-three million, one hundred sixty-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 241 244 366 482 723 732 793 964 1446 1586 2379 2892 3133 3172 4758 6266 9399 9516 12532 14701 18798 29402 37596 44103 58804 88206 176412 191113 382226 573339 764452 1146678 1146679 2293356 2293358 3440037 4586716 6880074 13760148 14906827 29813654 44720481 59627308 69947419 89440962 139894838 178881924 209842257 276349639 279789676 419684514 552699278 829048917 839369028 909316447 1105398556 1658097834 1818632894 2727949341 3316195668 3592545307 3637265788 5455898682 7185090614 10777635921 10911797364 14370181228 16857327979 21555271842 33714655958 43110543684 50571983937 67429311916 101143967874 202287935748 219145263727 438290527454 657435791181 876581054908 1314871582362 2629743164724