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97187124240 = 2434543893919
BaseRepresentation
bin101101010000011001…
…1011101010000010000
3100021212010201110010000
41122200303131100100
53043014400433430
6112351441210000
710010246632353
oct1324063352020
9307763643100
1097187124240
1138242663998
1216a03930900
13921ab24a0b
1449bd64829a
1527dc309e60
hex16a0cdd410

97187124240 has 400 divisors, whose sum is σ = 349365139200. Its totient is φ = 25023043584.

The previous prime is 97187124227. The next prime is 97187124241. The reversal of 97187124240 is 4242178179.

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

It is not an unprimeable number, because it can be changed into a prime (97187124241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24797001 + ... + 24800919.

It is an arithmetic number, because the mean of its divisors is an integer number (873412848).

Almost surely, 297187124240 is an apocalyptic number.

97187124240 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 97187124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174682569600).

97187124240 is an abundant number, since it is smaller than the sum of its proper divisors (252178014960).

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

97187124240 is a wasteful number, since it uses less digits than its factorization.

97187124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 97187124240 in words is "ninety-seven billion, one hundred eighty-seven million, one hundred twenty-four thousand, two hundred forty".