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97383754440 = 233357219234211
BaseRepresentation
bin101101010110010000…
…1100010101011001000
3100022100211201022001000
41122230201202223020
53043420220120230
6112423143455000
710015155153300
oct1325441425310
9308324638030
1097383754440
1138333655095
1216a59757460
13924c79c24b
1449db7d0600
1527ee6eab60
hex16ac862ac8

97383754440 has 768 divisors, whose sum is σ = 414865152000. Its totient is φ = 20165967360.

The previous prime is 97383754367. The next prime is 97383754441. The reversal of 97383754440 is 4445738379.

97383754440 is a `hidden beast` number, since 9 + 73 + 83 + 7 + 54 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (97383754441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23123935 + ... + 23128145.

It is an arithmetic number, because the mean of its divisors is an integer number (540189000).

Almost surely, 297383754440 is an apocalyptic number.

97383754440 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 97383754440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207432576000).

97383754440 is an abundant number, since it is smaller than the sum of its proper divisors (317481397560).

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

97383754440 is a wasteful number, since it uses less digits than its factorization.

97383754440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4287 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 97383754440 in words is "ninety-seven billion, three hundred eighty-three million, seven hundred fifty-four thousand, four hundred forty".