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5532440501952 = 26357133909211
BaseRepresentation
bin101000010000001111100…
…1001101001111011000000
3201120220012021212002100000
41100200133021221323000
51211120414232030302
615433322412200000
71110464014232430
oct120403711517300
921526167762300
105532440501952
111843327484251
12754283169000
133119260a3c10
14151ab31b82c0
1598da135531c
hex5081f269ec0

5532440501952 has 336 divisors, whose sum is σ = 20240085861632. Its totient is φ = 1459104814080.

The previous prime is 5532440501921. The next prime is 5532440501957. The reversal of 5532440501952 is 2591050442355.

5532440501952 is a `hidden beast` number, since 5 + 53 + 2 + 4 + 4 + 0 + 501 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 5532440501898 and 5532440501907.

It is not an unprimeable number, because it can be changed into a prime (5532440501957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539374 + ... + 3369837.

Almost surely, 25532440501952 is an apocalyptic number.

5532440501952 is a gapful number since it is divisible by the number (52) 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 5532440501952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10120042930816).

5532440501952 is an abundant number, since it is smaller than the sum of its proper divisors (14707645359680).

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

5532440501952 is a wasteful number, since it uses less digits than its factorization.

5532440501952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909258 (or 3909236 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 5532440501952 in words is "five trillion, five hundred thirty-two billion, four hundred forty million, five hundred one thousand, nine hundred fifty-two".