Search a number
-
+
97040246400 = 2733521123151
BaseRepresentation
bin101101001100000001…
…1001010011010000000
3100021110220100021121000
41122120003022122000
53042214300341100
6112325113132000
710003514325156
oct1323003123200
9307426307530
1097040246400
1138177764449
12169826ba000
1391c6579c56
1449a7d333d6
1527ce495900
hex16980ca680

97040246400 has 192 divisors, whose sum is σ = 355140662400. Its totient is φ = 25877376000.

The previous prime is 97040246293. The next prime is 97040246411. The reversal of 97040246400 is 464204079.

97040246400 is a `hidden beast` number, since 9 + 7 + 0 + 4 + 0 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475176 + ... + 647975.

It is an arithmetic number, because the mean of its divisors is an integer number (1849690950).

Almost surely, 297040246400 is an apocalyptic number.

97040246400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97040246400 is an abundant number, since it is smaller than the sum of its proper divisors (258100416000).

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

97040246400 is a wasteful number, since it uses less digits than its factorization.

97040246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123184 (or 1123161 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 97040246400 in words is "ninety-seven billion, forty million, two hundred forty-six thousand, four hundred".