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45331099148808 = 23341122352148247
BaseRepresentation
bin10100100111010011110000…
…00011111110001000001000
312221111121111020111121120000
422103221320003332020020
521420201042340230213
6240224453000403000
712356030616116544
oct1223517003761010
9187447436447500
1045331099148808
11134978a1765700
125101579476460
131c3a920495b15
14b2a0733a8a24
15539274e8ec73
hex293a780fe208

45331099148808 has 480 divisors, whose sum is σ = 145911435626880. Its totient is φ = 13113957542400.

The previous prime is 45331099148707. The next prime is 45331099148809. The reversal of 45331099148808 is 80884199013354.

45331099148808 is a `hidden beast` number, since 4 + 53 + 3 + 10 + 9 + 91 + 488 + 0 + 8 = 666.

It is a super-2 number, since 2×453310991488082 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45331099148809) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 939538941 + ... + 939587187.

It is an arithmetic number, because the mean of its divisors is an integer number (303982157556).

Almost surely, 245331099148808 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 45331099148808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72955717813440).

45331099148808 is an abundant number, since it is smaller than the sum of its proper divisors (100580336478072).

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

45331099148808 is a wasteful number, since it uses less digits than its factorization.

45331099148808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48831 (or 48807 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 45331099148808 in words is "forty-five trillion, three hundred thirty-one billion, ninety-nine million, one hundred forty-eight thousand, eight hundred eight".