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161255458980 = 22325711191135419
BaseRepresentation
bin1001011000101110010…
…0110000100010100100
3120102020011121001221200
42112023210300202210
510120222344141410
6202025120042500
714436026533320
oct2261344604244
9512204531850
10161255458980
116242a559070
1227304163430
131228b3ab165
147b3a55c980
1542dbcd03c0
hex258b9308a4

161255458980 has 576 divisors, whose sum is σ = 647735961600. Its totient is φ = 31457341440.

The previous prime is 161255458963. The next prime is 161255458981. The reversal of 161255458980 is 89854552161.

161255458980 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 5 + 54 + 589 + 8 + 0 = 666.

It is a super-3 number, since 3×1612554589803 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (161255458981) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29754711 + ... + 29760129.

It is an arithmetic number, because the mean of its divisors is an integer number (1124541600).

Almost surely, 2161255458980 is an apocalyptic number.

161255458980 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 161255458980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323867980800).

161255458980 is an abundant number, since it is smaller than the sum of its proper divisors (486480502620).

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

161255458980 is a wasteful number, since it uses less digits than its factorization.

161255458980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 161255458980 in words is "one hundred sixty-one billion, two hundred fifty-five million, four hundred fifty-eight thousand, nine hundred eighty".