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41572859904 = 2153523227
BaseRepresentation
bin100110101101111011…
…111000000000000000
310222022021200002200000
4212231323320000000
51140120123004104
631033122400000
73001133323122
oct465573700000
9128267602600
1041572859904
11166a3882a64
128082800000
133bc6ba4cb4
142025439212
151134b24639
hex9adef8000

41572859904 has 384 divisors, whose sum is σ = 130533137280. Its totient is φ = 13196722176.

The previous prime is 41572859857. The next prime is 41572859941. The reversal of 41572859904 is 40995827514.

It is a happy number.

41572859904 is a `hidden beast` number, since 41 + 5 + 7 + 2 + 8 + 599 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×415728599042 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183140239 + ... + 183140465.

It is an arithmetic number, because the mean of its divisors is an integer number (339930045).

Almost surely, 241572859904 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 41572859904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65266568640).

41572859904 is an abundant number, since it is smaller than the sum of its proper divisors (88960277376).

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

41572859904 is an frugal number, since it uses more digits than its factorization.

41572859904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 41572859904 in words is "forty-one billion, five hundred seventy-two million, eight hundred fifty-nine thousand, nine hundred four".