Search a number
-
+
29259525335040 = 2113557111317691
BaseRepresentation
bin1101010011100100000111…
…00111010010100000000000
310211121011221121222100100000
412221302003213102200000
512313342001441210130
6142121350153200000
76106634212524060
oct651620347224000
9124534847870300
1029259525335040
119360993291630
123346837a00000
131343213798520
147322508393a0
1535b192728260
hex1a9c839d2800

29259525335040 has 4608 divisors, whose sum is σ = 149721582366720. Its totient is φ = 5274442137600.

The previous prime is 29259525335009. The next prime is 29259525335059. The reversal of 29259525335040 is 4053352595292.

29259525335040 is a `hidden beast` number, since 2 + 9 + 2 + 5 + 9 + 52 + 533 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×292595253350402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42343741095 + ... + 42343741785.

It is an arithmetic number, because the mean of its divisors is an integer number (32491662840).

Almost surely, 229259525335040 is an apocalyptic number.

29259525335040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29259525335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74860791183360).

29259525335040 is an abundant number, since it is smaller than the sum of its proper divisors (120462057031680).

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

29259525335040 is a wasteful number, since it uses less digits than its factorization.

29259525335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 29259525335040 in words is "twenty-nine trillion, two hundred fifty-nine billion, five hundred twenty-five million, three hundred thirty-five thousand, forty".