Search a number
-
+
349025089753 = 31181109356911
BaseRepresentation
bin1010001010000111000…
…01000011100011011001
31020100220011021121221001
411011003201003203121
521204300410333003
6424201230545001
734134111212224
oct5050341034331
91210804247831
10349025089753
111250256228aa
1257787968161
1326bb3907462
1412c701b65bb
15912b67b61d
hex51438438d9

349025089753 has 16 divisors (see below), whose sum is σ = 362612303872. Its totient is φ = 335586888000.

The previous prime is 349025089741. The next prime is 349025089757. The reversal of 349025089753 is 357980520943.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-349025089753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 349025089694 and 349025089703.

It is not an unprimeable number, because it can be changed into a prime (349025089757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6104368 + ... + 6161278.

It is an arithmetic number, because the mean of its divisors is an integer number (22663268992).

Almost surely, 2349025089753 is an apocalyptic number.

It is an amenable number.

349025089753 is a deficient number, since it is larger than the sum of its proper divisors (13587214119).

349025089753 is a wasteful number, since it uses less digits than its factorization.

349025089753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58216.

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 349025089753 in words is "three hundred forty-nine billion, twenty-five million, eighty-nine thousand, seven hundred fifty-three".

Divisors: 1 31 181 1093 5611 33883 56911 197833 1764241 6132823 10300891 62203723 319327621 1928315413 11258873863 349025089753