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12772948474488 = 23317619155932441
BaseRepresentation
bin1011100111011110111100…
…0011100111101001111000
31200020002012201222222000210
42321313233003213221320
53133232444302140423
643055451142231120
72455546366441146
oct271675703475170
950202181888023
1012772948474488
114084a82473044
1215235967254a0
1371863a0b7b17
143222dd32c596
151723c13a0b93
hexb9def0e7a78

12772948474488 has 128 divisors (see below), whose sum is σ = 33888134592000. Its totient is φ = 3998036398080.

The previous prime is 12772948474487. The next prime is 12772948474493. The reversal of 12772948474488 is 88447484927721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12772948474487) 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, 393712348 + ... + 393744788.

It is an arithmetic number, because the mean of its divisors is an integer number (264751051500).

Almost surely, 212772948474488 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 12772948474488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16944067296000).

12772948474488 is an abundant number, since it is smaller than the sum of its proper divisors (21115186117512).

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

12772948474488 is a wasteful number, since it uses less digits than its factorization.

12772948474488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34645 (or 34641 counting only the distinct ones).

The product of its digits is 1618477056, while the sum is 75.

The spelling of 12772948474488 in words is "twelve trillion, seven hundred seventy-two billion, nine hundred forty-eight million, four hundred seventy-four thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 619 1238 1559 1857 2476 3118 3714 4677 4952 6236 7428 9354 10523 12472 14856 18708 21046 26503 31569 32441 37416 42092 53006 63138 64882 79509 84184 97323 106012 126276 129764 159018 194646 212024 252552 259528 318036 389292 551497 636072 778584 965021 1102994 1654491 1930042 2205988 2895063 3308982 3860084 4411976 5790126 6617964 7720168 11580252 13235928 16405357 20080979 23160504 32810714 40161958 49216071 50575519 60242937 65621428 80323916 98432142 101151038 120485874 131242856 151726557 160647832 196864284 202302076 240971748 303453114 341376643 393728568 404604152 481943496 606906228 682753286 859783823 1024129929 1213812456 1365506572 1719567646 2048259858 2579351469 2731013144 3439135292 4096519716 5158702938 6878270584 8193039432 10317405876 20634811752 31306246261 62612492522 93918738783 125224985044 187837477566 250449970088 375674955132 532206186437 751349910264 1064412372874 1596618559311 2128824745748 3193237118622 4257649491496 6386474237244 12772948474488