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48433410432 = 2733115092503
BaseRepresentation
bin101101000110110110…
…110011000110000000
311122000102000011202000
4231012312303012000
51243142423113212
634130000024000
73333140124141
oct550666630600
9148012004660
1048433410432
11195a4441130
129478302000
13474b334354
1424b6655ac8
1513d70951dc
hexb46db3180

48433410432 has 256 divisors, whose sum is σ = 156309696000. Its totient is φ = 14642104320.

The previous prime is 48433410407. The next prime is 48433410437. The reversal of 48433410432 is 23401433484.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48433410437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19348893 + ... + 19351395.

It is an arithmetic number, because the mean of its divisors is an integer number (610584750).

Almost surely, 248433410432 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 48433410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78154848000).

48433410432 is an abundant number, since it is smaller than the sum of its proper divisors (107876285568).

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

48433410432 is a wasteful number, since it uses less digits than its factorization.

48433410432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 48433410432 in words is "forty-eight billion, four hundred thirty-three million, four hundred ten thousand, four hundred thirty-two".