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245132542080 = 2734537227563
BaseRepresentation
bin1110010001001100001…
…0011100000010000000
3212102201201010101010000
43210103002130002000
513004012412321310
6304340133040000
723465420141226
oct3442302340200
9772651111100
10245132542080
1194a61a25058
123b612486000
131a167828b8a
14bc161b2b16
15659a8444c0
hex391309c080

245132542080 has 640 divisors, whose sum is σ = 904637004480. Its totient is φ = 63209299968.

The previous prime is 245132542051. The next prime is 245132542087. The reversal of 245132542080 is 80245231542.

245132542080 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 32 + 542 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (245132542087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 435403879 + ... + 435404441.

Almost surely, 2245132542080 is an apocalyptic number.

245132542080 is a gapful number since it is divisible by the number (20) 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 245132542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452318502240).

245132542080 is an abundant number, since it is smaller than the sum of its proper divisors (659504462400).

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

245132542080 is a wasteful number, since it uses less digits than its factorization.

245132542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 245132542080 in words is "two hundred forty-five billion, one hundred thirty-two million, five hundred forty-two thousand, eighty".