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33421204040013 = 328921972379761
BaseRepresentation
bin1111001100101011110101…
…11111101010100101001101
311101100000222011200020120100
413212111322333222211031
513340033111213240023
6155025253355041313
710016413410044046
oct746257277524515
9141300864606510
1033421204040013
11a715942434239
1238b9305740239
1315857b556240a
148378485cd8cd
153ce567719c43
hex1e657afea94d

33421204040013 has 36 divisors (see below), whose sum is σ = 49071439685268. Its totient is φ = 21918617656320.

The previous prime is 33421204039987. The next prime is 33421204040041. The reversal of 33421204040013 is 31004040212433.

33421204040013 is a `hidden beast` number, since 3 + 3 + 4 + 212 + 0 + 40 + 400 + 1 + 3 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 879165019044 + 32542039020969 = 937638^2 + 5704563^2 .

It is not a de Polignac number, because 33421204040013 - 28 = 33421204039757 is a prime.

It is a super-2 number, since 2×334212040400132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33421204042013) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12854053 + ... + 15233813.

It is an arithmetic number, because the mean of its divisors is an integer number (1363095546813).

Almost surely, 233421204040013 is an apocalyptic number.

It is an amenable number.

33421204040013 is a deficient number, since it is larger than the sum of its proper divisors (15650235645255).

33421204040013 is a wasteful number, since it uses less digits than its factorization.

33421204040013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380142 (or 2380050 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 33421204040013 its reverse (31004040212433), we get a palindrome (64425244252446).

The spelling of 33421204040013 in words is "thirty-three trillion, four hundred twenty-one billion, two hundred four million, forty thousand, thirteen".

Divisors: 1 3 9 89 197 267 591 801 1773 7921 17533 23763 52599 71289 157797 1560437 2379761 4681311 7139283 14043933 21417849 211798729 468812917 635396187 1406438751 1906188561 4219316253 18850086881 41724349613 56550260643 125173048839 169650781929 375519146517 3713467115557 11140401346671 33421204040013