Search a number
-
+
97459089000 = 23353721323923
BaseRepresentation
bin101101011000100000…
…0111010111001101000
3100022120002110200121220
41122301000322321220
53044044011322000
6112434434302040
710020061405500
oct1326100727150
9308502420556
1097459089000
113837212a059
1216a7aa27920
139262287c00
144a07800a00
15280612c1a0
hex16b103ae68

97459089000 has 576 divisors, whose sum is σ = 383116443840. Its totient is φ = 20557555200.

The previous prime is 97459088999. The next prime is 97459089001. The reversal of 97459089000 is 98095479.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97459088999) and next prime (97459089001).

It is not an unprimeable number, because it can be changed into a prime (97459089001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24841039 + ... + 24844961.

It is an arithmetic number, because the mean of its divisors is an integer number (665132715).

Almost surely, 297459089000 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 97459089000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191558221920).

97459089000 is an abundant number, since it is smaller than the sum of its proper divisors (285657354840).

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

97459089000 is a wasteful number, since it uses less digits than its factorization.

97459089000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 97459089000 in words is "ninety-seven billion, four hundred fifty-nine million, eighty-nine thousand".