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468771445980 = 22325172937142771
BaseRepresentation
bin1101101001001001111…
…01001001110011011100
31122210222111011210120200
412310210331021303130
530140020442232410
6555203422543500
745603410355345
oct6644475116334
91583874153520
10468771445980
11170894295672
1276a26737b90
13352883a4746
141898d9750cc
15c2d922d3c0
hex6d24f49cdc

468771445980 has 288 divisors, whose sum is σ = 1599606066240. Its totient is φ = 110524538880.

The previous prime is 468771445969. The next prime is 468771446053. The reversal of 468771445980 is 89544177864.

468771445980 is a `hidden beast` number, since 46 + 8 + 7 + 71 + 445 + 9 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3211995 + ... + 3354765.

It is an arithmetic number, because the mean of its divisors is an integer number (5554187730).

Almost surely, 2468771445980 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 468771445980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799803033120).

468771445980 is an abundant number, since it is smaller than the sum of its proper divisors (1130834620260).

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

468771445980 is a wasteful number, since it uses less digits than its factorization.

468771445980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142869 (or 142864 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 468771445980 in words is "four hundred sixty-eight billion, seven hundred seventy-one million, four hundred forty-five thousand, nine hundred eighty".