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41197213008 = 2436729127137
BaseRepresentation
bin100110010111100010…
…111001010101010000
310221100002211021000000
4212113202321111100
51133332441304013
630531543130000
72655622350510
oct462742712520
9127302737000
1041197213008
1116520830986
127b98a43900
133b6710c323
141dcb5b3840
151111b71973
hex9978b9550

41197213008 has 560 divisors, whose sum is σ = 143642234880. Its totient is φ = 11192961024.

The previous prime is 41197212997. The next prime is 41197213021. The reversal of 41197213008 is 80031279114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 300709516 + ... + 300709652.

Almost surely, 241197213008 is an apocalyptic number.

41197213008 is a gapful number since it is divisible by the number (48) 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 41197213008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71821117440).

41197213008 is an abundant number, since it is smaller than the sum of its proper divisors (102445021872).

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

41197213008 is a wasteful number, since it uses less digits than its factorization.

41197213008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

It can be divided in two parts, 4119 and 7213008, that added together give a palindrome (7217127).

The spelling of 41197213008 in words is "forty-one billion, one hundred ninety-seven million, two hundred thirteen thousand, eight".