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9097402956840 = 233251111299203321
BaseRepresentation
bin1000010001100010011101…
…1110001011110000101000
31012012200222122122201010100
42010120213132023300220
52143022440124104330
631203142245545400
71626160061146332
oct204304736136050
935180878581110
109097402956840
112998206889270
12102b179a15260
1350cb5c6232b3
14236460c74452
1510b99e91c060
hex8462778bc28

9097402956840 has 192 divisors, whose sum is σ = 32257441944000. Its totient is φ = 2205224985600.

The previous prime is 9097402956679. The next prime is 9097402956847. The reversal of 9097402956840 is 486592047909.

9097402956840 is a `hidden beast` number, since 9 + 0 + 9 + 7 + 4 + 0 + 29 + 568 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (9097402956847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44642380 + ... + 44845700.

It is an arithmetic number, because the mean of its divisors is an integer number (168007510125).

Almost surely, 29097402956840 is an apocalyptic number.

9097402956840 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 9097402956840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128720972000).

9097402956840 is an abundant number, since it is smaller than the sum of its proper divisors (23160038987160).

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

9097402956840 is a wasteful number, since it uses less digits than its factorization.

9097402956840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214648 (or 214641 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 9097402956840 in words is "nine trillion, ninety-seven billion, four hundred two million, nine hundred fifty-six thousand, eight hundred forty".