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6041581952 = 2778381239
BaseRepresentation
bin1011010000001101…
…10011100110000000
3120121001022011101112
411220012303212000
544333121110302
62435300022452
7302500412360
oct55006634600
916531264345
106041581952
112620351a3a
121207391a28
13753897683
144145549a0
152555ed552
hex1681b3980

6041581952 has 64 divisors (see below), whose sum is σ = 13921286400. Its totient is φ = 2558022144.

The previous prime is 6041581933. The next prime is 6041581961. The reversal of 6041581952 is 2591851406.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33749 + ... + 114987.

It is an arithmetic number, because the mean of its divisors is an integer number (217520100).

Almost surely, 26041581952 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 6041581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6960643200).

6041581952 is an abundant number, since it is smaller than the sum of its proper divisors (7879704448).

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

6041581952 is an equidigital number, since it uses as much as digits as its factorization.

6041581952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81343 (or 81331 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The square root of 6041581952 is about 77727.6138318937. The cubic root of 6041581952 is about 1821.3086783751.

The spelling of 6041581952 in words is "six billion, forty-one million, five hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 128 166 224 332 448 581 664 896 1162 1328 2324 2656 4648 5312 9296 10624 18592 37184 74368 81239 162478 324956 568673 649912 1137346 1299824 2274692 2599648 4549384 5199296 6742837 9098768 10398592 13485674 18197536 26971348 36395072 47199859 53942696 72790144 94399718 107885392 188799436 215770784 377598872 431541568 755197744 863083136 1510395488 3020790976 6041581952