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12776388751380 = 22354712569360461
BaseRepresentation
bin1011100111101011110000…
…0111001111000000010100
31200020102002111111010201110
42321322330013033000110
53133312021010021010
643101220355255020
72456030552346012
oct271727407170024
950212074433643
1012776388751380
114086488408a91
1215241968aa470
13718a67a73517
143225481c18b2
15172523412120
hexb9ebc1cf014

12776388751380 has 96 divisors (see below), whose sum is σ = 36538043189760. Its totient is φ = 3334272302080.

The previous prime is 12776388751363. The next prime is 12776388751387. The reversal of 12776388751380 is 8315788367721.

12776388751380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127763887513802 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12776388751387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35264350 + ... + 35624810.

It is an arithmetic number, because the mean of its divisors is an integer number (380604616560).

Almost surely, 212776388751380 is an apocalyptic number.

12776388751380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12776388751380 is an abundant number, since it is smaller than the sum of its proper divisors (23761654438380).

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

12776388751380 is a wasteful number, since it uses less digits than its factorization.

12776388751380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373089 (or 373087 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 66.

The spelling of 12776388751380 in words is "twelve trillion, seven hundred seventy-six billion, three hundred eighty-eight million, seven hundred fifty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 12569 25138 37707 50276 62845 75414 125690 150828 188535 251380 360461 377070 590743 720922 754140 1081383 1181486 1441844 1772229 1802305 2162766 2362972 2953715 3544458 3604610 4325532 5406915 5907430 7088916 7209220 8861145 10813830 11814860 16941667 17722290 21627660 33883334 35444580 50825001 67766668 84708335 101650002 169416670 203300004 254125005 338833340 508250010 1016500020 4530634309 9061268618 13591902927 18122537236 22653171545 27183805854 45306343090 54367611708 67959514635 90612686180 135919029270 212939812523 271838058540 425879625046 638819437569 851759250092 1064699062615 1277638875138 2129398125230 2555277750276 3194097187845 4258796250460 6388194375690 12776388751380