Search a number
-
+
33769670051 = 1359107411479
BaseRepresentation
bin11111011100110101…
…000100010110100011
310020011110120222112102
4133130311010112203
51023130013420201
623302533121015
72303562313355
oct373465042643
9106143528472
1033769670051
111335a109a27
12666548916b
1332523702b0
1418c4d630d5
15d29a5326b
hex7dcd445a3

33769670051 has 16 divisors (see below), whose sum is σ = 37329465600. Its totient is φ = 30357200928.

The previous prime is 33769670047. The next prime is 33769670059. The reversal of 33769670051 is 15007696733.

It is a cyclic number.

It is not a de Polignac number, because 33769670051 - 22 = 33769670047 is a prime.

It is a super-2 number, since 2×337696700512 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33769669978 and 33769670005.

It is not an unprimeable number, because it can be changed into a prime (33769670059) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 123671 + ... + 287808.

It is an arithmetic number, because the mean of its divisors is an integer number (2333091600).

Almost surely, 233769670051 is an apocalyptic number.

33769670051 is a deficient number, since it is larger than the sum of its proper divisors (3559795549).

33769670051 is a wasteful number, since it uses less digits than its factorization.

33769670051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411658.

The product of its (nonzero) digits is 714420, while the sum is 47.

The spelling of 33769670051 in words is "thirty-three billion, seven hundred sixty-nine million, six hundred seventy thousand, fifty-one".

Divisors: 1 13 59 107 767 1391 6313 82069 411479 5349227 24277261 44028253 315604393 572367289 2597666927 33769670051