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13430683231768 = 23111729421735337
BaseRepresentation
bin1100001101110001001100…
…0110100110011000011000
31202112221221101222120102201
43003130103012212120120
53230022014401404033
644321545400535544
72554222564563535
oct303342306463030
952487841876381
1013430683231768
114308a14602280
12160ab587815b4
1376567b0a97aa
14346097283d8c
15184569b6847d
hexc37131a6618

13430683231768 has 128 divisors (see below), whose sum is σ = 30162388219200. Its totient is φ = 5534432870400.

The previous prime is 13430683231741. The next prime is 13430683231781. The reversal of 13430683231768 is 86713238603431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17896996 + ... + 18632332.

Almost surely, 213430683231768 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 13430683231768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15081194109600).

13430683231768 is an abundant number, since it is smaller than the sum of its proper divisors (16731704987432).

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

13430683231768 is a wasteful number, since it uses less digits than its factorization.

13430683231768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735821 (or 735817 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 55.

The spelling of 13430683231768 in words is "thirteen trillion, four hundred thirty billion, six hundred eighty-three million, two hundred thirty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 116 136 187 232 319 374 421 493 638 748 842 986 1276 1496 1684 1972 2552 3368 3944 4631 5423 7157 9262 10846 12209 14314 18524 21692 24418 28628 37048 43384 48836 57256 78727 97672 134299 157454 207553 268598 314908 415106 537196 629816 735337 830212 1074392 1470674 1660424 2283083 2941348 4566166 5882696 8088707 9132332 12500729 16177414 18264664 21324773 25001458 32354828 42649546 50002916 64709656 85299092 100005832 137508019 170598184 234572503 275016038 309576877 362521141 469145006 550032076 619153754 725042282 938290012 1100064152 1238307508 1450084564 1876580024 2476615016 2900169128 3405345647 3987732551 5262806909 6810691294 7975465102 8977729433 10525613818 13621382588 15950930204 17955458866 21051227636 27242765176 31901860408 35910917732 42102455272 57890875999 71821835464 98755023763 115781751998 152621400361 197510047526 231563503996 305242800722 395020095052 463127007992 610485601444 790040190104 1220971202888 1678835403971 3357670807942 6715341615884 13430683231768