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5448434923008 = 293271167229189
BaseRepresentation
bin100111101001001000000…
…0001110011011000000000
3201021212100210112112000100
41033102100001303120000
51203231343320014013
615330550525122400
71101431203500210
oct117222001633000
921255323475010
105448434923008
111810739523450
1273bb399b9400
13306a2914625c
1414b9c4476240
1596ad63ad473
hex4f490073600

5448434923008 has 480 divisors, whose sum is σ = 19897329703680. Its totient is φ = 1394049761280.

The previous prime is 5448434922989. The next prime is 5448434923069. The reversal of 5448434923008 is 8003294348445.

It is a happy number.

5448434923008 is a `hidden beast` number, since 5 + 44 + 84 + 3 + 492 + 30 + 0 + 8 = 666.

It is a super-2 number, since 2×54484349230082 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23658078 + ... + 23887266.

It is an arithmetic number, because the mean of its divisors is an integer number (41452770216).

Almost surely, 25448434923008 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 5448434923008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9948664851840).

5448434923008 is an abundant number, since it is smaller than the sum of its proper divisors (14448894780672).

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

5448434923008 is a wasteful number, since it uses less digits than its factorization.

5448434923008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229298 (or 229279 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 5448434923008 in words is "five trillion, four hundred forty-eight billion, four hundred thirty-four million, nine hundred twenty-three thousand, eight".