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97150432320 = 26335233773181
BaseRepresentation
bin101101001111010011…
…1011111010001000000
3100021202120200022021000
41122132213133101000
53042431002313240
6112344050532000
710006323023004
oct1323647372100
9307676608230
1097150432320
1138223982797
12169b3597000
139213348b16
1449b8816704
1527d8ead430
hex169e9df440

97150432320 has 896 divisors, whose sum is σ = 374380231680. Its totient is φ = 23648993280.

The previous prime is 97150432271. The next prime is 97150432363. The reversal of 97150432320 is 2323405179.

97150432320 is a `hidden beast` number, since 97 + 1 + 504 + 32 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 536742630 + ... + 536742810.

It is an arithmetic number, because the mean of its divisors is an integer number (417835080).

Almost surely, 297150432320 is an apocalyptic number.

97150432320 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 97150432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187190115840).

97150432320 is an abundant number, since it is smaller than the sum of its proper divisors (277229799360).

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

97150432320 is a wasteful number, since it uses less digits than its factorization.

97150432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 97150432320 its reverse (2323405179), we get a palindrome (99473837499).

The spelling of 97150432320 in words is "ninety-seven billion, one hundred fifty million, four hundred thirty-two thousand, three hundred twenty".