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41419073952 = 253611091601
BaseRepresentation
bin100110100100110001…
…001110100110100000
310221220120021222000000
4212210301032212200
51134311240331302
631005550300000
72664255214434
oct464461164640
9127816258000
1041419073952
1116624a95333
12803b1b7600
133ba107baa9
14200cc469c4
15112639831c
hex9a4c4e9a0

41419073952 has 168 divisors, whose sum is σ = 122446450980. Its totient is φ = 13785292800.

The previous prime is 41419073939. The next prime is 41419074001. The reversal of 41419073952 is 25937091414.

It can be written as a sum of positive squares in 2 ways, for example, as 41356916496 + 62157456 = 203364^2 + 7884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41419073898 and 41419073907.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 25869952 + ... + 25871552.

Almost surely, 241419073952 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 41419073952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61223225490).

41419073952 is an abundant number, since it is smaller than the sum of its proper divisors (81027377028).

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

41419073952 is a wasteful number, since it uses less digits than its factorization.

41419073952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 41419073952 in words is "forty-one billion, four hundred nineteen million, seventy-three thousand, nine hundred fifty-two".