Search a number
-
+
34680499821 = 32112166919081
BaseRepresentation
bin100000010011000111…
…100110111001101101
310022111221110221002100
4200103013212321231
51032011201443241
623533151245313
72335262245632
oct402307467155
9108457427070
1034680499821
1113787268900
12687a519839
133368c89116
14196dcdc189
15d7e9bd9b6
hex8131e6e6d

34680499821 has 36 divisors (see below), whose sum is σ = 55097939260. Its totient is φ = 21004790400.

The previous prime is 34680499813. The next prime is 34680499853. The reversal of 34680499821 is 12899408643.

34680499821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11737338921 + 22943160900 = 108339^2 + 151470^2 .

It is not a de Polignac number, because 34680499821 - 23 = 34680499813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34680499421) 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, 1808001 + ... + 1827081.

Almost surely, 234680499821 is an apocalyptic number.

It is an amenable number.

34680499821 is a deficient number, since it is larger than the sum of its proper divisors (20417439439).

34680499821 is a wasteful number, since it uses less digits than its factorization.

34680499821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20778 (or 20764 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 34680499821 in words is "thirty-four billion, six hundred eighty million, four hundred ninety-nine thousand, eight hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 1669 5007 15021 18359 19081 55077 57243 165231 171729 201949 209891 605847 629673 1817541 1889019 2308801 6926403 20779209 31846189 95538567 286615701 350308079 1050924237 3152772711 3853388869 11560166607 34680499821