Search a number
-
+
3542366420505 = 335113317206743
BaseRepresentation
bin110011100011000101011…
…111011111111000011001
3110112122110121101010212000
4303203011133133320121
5431014231300424010
611311201330111213
7513633066523413
oct63430537377031
913478417333760
103542366420505
111146344549a40
1249264b41b509
131c907508c843
14c3646ac59b3
15622299a07c0
hex338c57dfe19

3542366420505 has 64 divisors (see below), whose sum is σ = 6890800343040. Its totient is φ = 1712321899200.

The previous prime is 3542366420501. The next prime is 3542366420563. The reversal of 3542366420505 is 5050246632453.

3542366420505 is a `hidden beast` number, since 3 + 5 + 42 + 3 + 66 + 42 + 0 + 505 = 666.

It is not a de Polignac number, because 3542366420505 - 22 = 3542366420501 is a prime.

It is a super-3 number, since 3×35423664205053 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3542366420501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3111837 + ... + 4094906.

It is an arithmetic number, because the mean of its divisors is an integer number (107668755360).

Almost surely, 23542366420505 is an apocalyptic number.

It is an amenable number.

3542366420505 is a deficient number, since it is larger than the sum of its proper divisors (3348433922535).

3542366420505 is a wasteful number, since it uses less digits than its factorization.

3542366420505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7207099 (or 7207093 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 3542366420505 in words is "three trillion, five hundred forty-two billion, three hundred sixty-six million, four hundred twenty thousand, five hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 331 495 993 1485 1655 2979 3641 4965 8937 10923 14895 18205 32769 44685 54615 98307 163845 491535 7206743 21620229 36033715 64860687 79274173 108101145 194582061 237822519 324303435 396370865 713467557 972910305 1189112595 2140402671 2385431933 3567337785 7156295799 10702013355 11927159665 21468887397 26239751263 35781478995 64406662191 78719253789 107344436985 131198756315 236157761367 322033310955 393596268945 708473284101 1180788806835 3542366420505