Search a number
-
+
34537926150 = 23452713313023
BaseRepresentation
bin100000001010100111…
…101110111000000110
310022011000012102210000
4200022213232320012
51031213202114100
623511055342130
72331611346150
oct401247567006
9108130172700
1034537926150
1113713839122
12683a821946
13334558a4c0
141958dc7ad0
15d72209900
hex80a9eee06

34537926150 has 480 divisors, whose sum is σ = 121960194048. Its totient is φ = 7049721600.

The previous prime is 34537926139. The next prime is 34537926151. The reversal of 34537926150 is 5162973543.

34537926150 is a `hidden beast` number, since 3 + 4 + 537 + 9 + 2 + 61 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34537926096 and 34537926105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34537926151) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11423539 + ... + 11426561.

Almost surely, 234537926150 is an apocalyptic number.

34537926150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34537926150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60980097024).

34537926150 is an abundant number, since it is smaller than the sum of its proper divisors (87422267898).

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

34537926150 is a wasteful number, since it uses less digits than its factorization.

34537926150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 34537926150 in words is "thirty-four billion, five hundred thirty-seven million, nine hundred twenty-six thousand, one hundred fifty".