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195801363480 = 233519238941953
BaseRepresentation
bin1011011001011010101…
…0111011010000011000
3200201101201210211222010
42312112222323100120
511202000122112410
6225541102425520
720101066062132
oct2662652732030
9621351724863
10195801363480
1176047846468
1231b455922a0
13156054ccc78
149696622052
15515ea63c20
hex2d96abb418

195801363480 has 256 divisors, whose sum is σ = 652468608000. Its totient is φ = 46782185472.

The previous prime is 195801363467. The next prime is 195801363481. The reversal of 195801363480 is 84363108591.

195801363480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195801363481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4646184 + ... + 4688136.

It is an arithmetic number, because the mean of its divisors is an integer number (2548705500).

Almost surely, 2195801363480 is an apocalyptic number.

195801363480 is a gapful number since it is divisible by the number (10) 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 195801363480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326234304000).

195801363480 is an abundant number, since it is smaller than the sum of its proper divisors (456667244520).

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

195801363480 is a wasteful number, since it uses less digits than its factorization.

195801363480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42098 (or 42094 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 195801363480 in words is "one hundred ninety-five billion, eight hundred one million, three hundred sixty-three thousand, four hundred eighty".