Search a number
-
+
130757406334764 = 223116075731630399
BaseRepresentation
bin11101101110110001010100…
…110000011001111100101100
3122010222021201110122122102120
4131232301110300121330230
5114114312132010203024
61142033042340152540
736353624265264456
oct3556612460317454
9563867643578376
10130757406334764
11387329a50458a0
12127b97b2998750
1357c64a8016841
1424409996c32d6
15101b478325479
hex76ec54c19f2c

130757406334764 has 48 divisors (see below), whose sum is σ = 332837786265600. Its totient is φ = 39623366946240.

The previous prime is 130757406334699. The next prime is 130757406334769. The reversal of 130757406334764 is 467433604757031.

It is a happy number.

It is a super-2 number, since 2×1307574063347642 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130757406334698 and 130757406334707.

It is not an unprimeable number, because it can be changed into a prime (130757406334769) 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, 79384437 + ... + 81014835.

It is an arithmetic number, because the mean of its divisors is an integer number (6934120547200).

Almost surely, 2130757406334764 is an apocalyptic number.

It is an amenable number.

130757406334764 is an abundant number, since it is smaller than the sum of its proper divisors (202080379930836).

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

130757406334764 is a wasteful number, since it uses less digits than its factorization.

130757406334764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237990 (or 2237988 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 60.

The spelling of 130757406334764 in words is "one hundred thirty trillion, seven hundred fifty-seven billion, four hundred six million, three hundred thirty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 607573 1215146 1630399 1822719 2430292 3260798 3645438 4891197 6521596 6683303 7290876 9782394 13366606 17934389 19564788 20049909 26733212 35868778 40099818 53803167 71737556 80199636 107606334 215212668 990586411627 1981172823254 2971759234881 3962345646508 5943518469762 10896450527897 11887036939524 21792901055794 32689351583691 43585802111588 65378703167382 130757406334764