Search a number
-
+
41579446272 = 2183721383
BaseRepresentation
bin100110101110010101…
…000000000000000000
310222022202001201110120
4212232111000000000
51140123314240042
631033515500240
73001243314300
oct465625000000
9128282051416
1041579446272
11166a7571441
128084a57680
133bc836cb60
142026271600
1511354c5dec
hex9ae540000

41579446272 has 456 divisors, whose sum is σ = 140576024736. Its totient is φ = 10833887232.

The previous prime is 41579446241. The next prime is 41579446283. The reversal of 41579446272 is 27264497514.

It is a super-2 number, since 2×415794462722 (a number of 22 digits) contains 22 as substring.

Its product of digits (3386880) is a multiple of the sum of its prime divisors (108).

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, 500957143 + ... + 500957225.

It is an arithmetic number, because the mean of its divisors is an integer number (308280756).

Almost surely, 241579446272 is an apocalyptic number.

41579446272 is a gapful number since it is divisible by the number (42) 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 41579446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70288012368).

41579446272 is an abundant number, since it is smaller than the sum of its proper divisors (98996578464).

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

41579446272 is an frugal number, since it uses more digits than its factorization.

41579446272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 108 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The spelling of 41579446272 in words is "forty-one billion, five hundred seventy-nine million, four hundred forty-six thousand, two hundred seventy-two".