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45229888000 = 295311411567
BaseRepresentation
bin101010000111111010…
…010101001000000000
311022202011000101010001
4222013322111020000
51220112322404000
632440041245344
73160560463453
oct520772251000
9138664011101
1045229888000
1118200102330
128923493854
13435a73144b
142290dd149a
15129abed46a
hexa87e95200

45229888000 has 320 divisors, whose sum is σ = 126117927936. Its totient is φ = 16035840000.

The previous prime is 45229887991. The next prime is 45229888001. The reversal of 45229888000 is 88892254.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (45229888001) 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, 28863217 + ... + 28864783.

Almost surely, 245229888000 is an apocalyptic number.

45229888000 is a gapful number since it is divisible by the number (40) 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 45229888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63058963968).

45229888000 is an abundant number, since it is smaller than the sum of its proper divisors (80888039936).

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

45229888000 is a wasteful number, since it uses less digits than its factorization.

45229888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 45229888000 in words is "forty-five billion, two hundred twenty-nine million, eight hundred eighty-eight thousand".