Search a number
-
+
97441498080 = 2532567667707
BaseRepresentation
bin101101010111111110…
…1110100001111100000
3100022111212100222102100
41122233331310033200
53044030010414310
6112433005250400
710016456032143
oct1325775641740
9308455328370
1097441498080
1138363204803
1216a74b63a00
13925b739194
144a0534205a
152804804ec0
hex16aff743e0

97441498080 has 72 divisors (see below), whose sum is σ = 332519117112. Its totient is φ = 25984399104.

The previous prime is 97441498073. The next prime is 97441498109. The reversal of 97441498080 is 8089414479.

97441498080 is a `hidden beast` number, since 9 + 7 + 441 + 49 + 80 + 80 = 666.

97441498080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33832414 + ... + 33835293.

It is an arithmetic number, because the mean of its divisors is an integer number (4618321071).

Almost surely, 297441498080 is an apocalyptic number.

97441498080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97441498080 is an abundant number, since it is smaller than the sum of its proper divisors (235077619032).

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

97441498080 is a wasteful number, since it uses less digits than its factorization.

97441498080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67667728 (or 67667717 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 97441498080 in words is "ninety-seven billion, four hundred forty-one million, four hundred ninety-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 67667707 135335414 203003121 270670828 338338535 406006242 541341656 609009363 676677070 812012484 1015015605 1082683312 1218018726 1353354140 1624024968 2030031210 2165366624 2436037452 2706708280 3045046815 3248049936 4060062420 4872074904 5413416560 6090093630 6496099872 8120124840 9744149808 10826833120 12180187260 16240249680 19488299616 24360374520 32480499360 48720749040 97441498080