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1346796593970 = 235531291656113
BaseRepresentation
bin10011100110010011010…
…101010010001100110010
311202202022120101201220020
4103212103111102030302
5134031214412001340
62510413153024310
7166205606110062
oct23462325221462
94682276351806
101346796593970
1147a19a625943
12199027555096
139a0052a5229
14492846853a2
15250774479d0
hex13993552332

1346796593970 has 64 divisors (see below), whose sum is σ = 3295854831744. Its totient is φ = 352095943680.

The previous prime is 1346796593957. The next prime is 1346796593981. The reversal of 1346796593970 is 793956976431.

It is a super-2 number, since 2×13467965939702 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1346796593895 and 1346796593904.

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, 1724634 + ... + 2380746.

It is an arithmetic number, because the mean of its divisors is an integer number (51497731746).

Almost surely, 21346796593970 is an apocalyptic number.

1346796593970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346796593970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647927415872).

1346796593970 is an abundant number, since it is smaller than the sum of its proper divisors (1949058237774).

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

1346796593970 is a wasteful number, since it uses less digits than its factorization.

1346796593970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657467.

The product of its (nonzero) digits is 231472080, while the sum is 69.

The spelling of 1346796593970 in words is "one trillion, three hundred forty-six billion, seven hundred ninety-six million, five hundred ninety-three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1291 1590 2582 3873 6455 7746 12910 19365 38730 68423 136846 205269 342115 410538 656113 684230 1026345 1312226 1968339 2052690 3280565 3936678 6561130 9841695 19683390 34773989 69547978 104321967 173869945 208643934 347739890 521609835 847041883 1043219670 1694083766 2541125649 4235209415 5082251298 8470418830 12705628245 25411256490 44893219799 89786439598 134679659397 224466098995 269359318794 448932197990 673398296985 1346796593970