Search a number
-
+
35030274048 = 2123272114143
BaseRepresentation
bin100000100111111101…
…111001000000000000
310100102022122022010100
4200213331321000000
51033220222232143
624032004202400
72350040262600
oct404775710000
9110368568110
1035030274048
1113946749410
126957699400
1333c3593613
1419a454ac00
15da05606d3
hex827f79000

35030274048 has 936 divisors, whose sum is σ = 134597919456. Its totient is φ = 8670412800.

The previous prime is 35030274029. The next prime is 35030274053. The reversal of 35030274048 is 84047203053.

It is a happy number.

35030274048 is a `hidden beast` number, since 350 + 30 + 274 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 814657515 + ... + 814657557.

It is an arithmetic number, because the mean of its divisors is an integer number (143801196).

Almost surely, 235030274048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35030274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67298959728).

35030274048 is an abundant number, since it is smaller than the sum of its proper divisors (99567645408).

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

35030274048 is a wasteful number, since it uses less digits than its factorization.

35030274048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 35030274048 in words is "thirty-five billion, thirty million, two hundred seventy-four thousand, forty-eight".