Search a number
-
+
97486512480 = 25325753251727
BaseRepresentation
bin101101011001010100…
…1100010000101100000
3100022122000001221120100
41122302221202011200
53044123021344410
6112441254142400
710020543453360
oct1326251420540
9308560057510
1097486512480
113838665a795
1216a88051a00
139267b6a216
144a0b2dc9a0
1528087478c0
hex16b2a62160

97486512480 has 576 divisors, whose sum is σ = 389449202688. Its totient is φ = 21745152000.

The previous prime is 97486512467. The next prime is 97486512503. The reversal of 97486512480 is 8421568479.

It is a happy number.

97486512480 is a `hidden beast` number, since 9 + 7 + 4 + 86 + 512 + 48 + 0 = 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, 134093877 + ... + 134094603.

It is an arithmetic number, because the mean of its divisors is an integer number (676127088).

Almost surely, 297486512480 is an apocalyptic number.

97486512480 is a gapful number since it is divisible by the number (90) 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 97486512480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194724601344).

97486512480 is an abundant number, since it is smaller than the sum of its proper divisors (291962690208).

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

97486512480 is a wasteful number, since it uses less digits than its factorization.

97486512480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 97486512480 in words is "ninety-seven billion, four hundred eighty-six million, five hundred twelve thousand, four hundred eighty".