Search a number
-
+
35413978848 = 253521708053
BaseRepresentation
bin100000111110110101…
…100110111011100000
310101102001122112011020
4200332311212323200
51040011434310343
624134032245440
72362406565513
oct407665467340
9111361575136
1035413978848
11140232a4516
126a440a0880
133454c1ab91
1419dd4acd7a
15dc40a5b83
hex83ed66ee0

35413978848 has 48 divisors (see below), whose sum is σ = 93140255376. Its totient is φ = 11781985280.

The previous prime is 35413978843. The next prime is 35413978861. The reversal of 35413978848 is 84887931453.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 35413978791 and 35413978800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35413978841) 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 7 ways as a sum of consecutive naturals, for example, 304011 + ... + 404042.

It is an arithmetic number, because the mean of its divisors is an integer number (1940421987).

Almost surely, 235413978848 is an apocalyptic number.

It is an amenable number.

35413978848 is an abundant number, since it is smaller than the sum of its proper divisors (57726276528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35413978848 is a wasteful number, since it uses less digits than its factorization.

35413978848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708587 (or 708579 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 60.

The spelling of 35413978848 in words is "thirty-five billion, four hundred thirteen million, nine hundred seventy-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 521 1042 1563 2084 3126 4168 6252 8336 12504 16672 25008 50016 708053 1416106 2124159 2832212 4248318 5664424 8496636 11328848 16993272 22657696 33986544 67973088 368895613 737791226 1106686839 1475582452 2213373678 2951164904 4426747356 5902329808 8853494712 11804659616 17706989424 35413978848