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97223639040 = 2163651137
BaseRepresentation
bin101101010001011111…
…0110000000000000000
3100021221200102121000000
41122202332300000000
53043103222422130
6112355224000000
710011202203453
oct1324276600000
9307850377000
1097223639040
1138261234010
1216a14000000
13922556b0c8
1449c443149a
1527e061e260
hex16a2fb0000

97223639040 has 952 divisors, whose sum is σ = 391961009808. Its totient is φ = 22932357120.

The previous prime is 97223639017. The next prime is 97223639053. The reversal of 97223639040 is 4093632279.

97223639040 is a `hidden beast` number, since 9 + 7 + 2 + 2 + 3 + 639 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2627665902 + ... + 2627665938.

Almost surely, 297223639040 is an apocalyptic number.

97223639040 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 97223639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195980504904).

97223639040 is an abundant number, since it is smaller than the sum of its proper divisors (294737370768).

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

97223639040 is an frugal number, since it uses more digits than its factorization.

97223639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 97223639040 in words is "ninety-seven billion, two hundred twenty-three million, six hundred thirty-nine thousand, forty".