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97248498144 = 2537144715027
BaseRepresentation
bin101101010010001110…
…1100101000111100000
3100022000102012120021120
41122210131211013200
53043131103420034
6112401512452240
710011623411130
oct1324435450740
9308012176246
1097248498144
1138274273026
1216a203aa080
13922a763135
1449c7862ac0
1527e28cec49
hex16a47651e0

97248498144 has 48 divisors (see below), whose sum is σ = 291745496448. Its totient is φ = 27785284992.

The previous prime is 97248498143. The next prime is 97248498211. The reversal of 97248498144 is 44189484279.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97248498143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72356842 + ... + 72358185.

It is an arithmetic number, because the mean of its divisors is an integer number (6078031176).

Almost surely, 297248498144 is an apocalyptic number.

It is an amenable number.

97248498144 is an abundant number, since it is smaller than the sum of its proper divisors (194496998304).

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

97248498144 is a wasteful number, since it uses less digits than its factorization.

97248498144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144715047 (or 144715039 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The spelling of 97248498144 in words is "ninety-seven billion, two hundred forty-eight million, four hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 144715027 289430054 434145081 578860108 868290162 1013005189 1157720216 1736580324 2026010378 2315440432 3039015567 3473160648 4052020756 4630880864 6078031134 6946321296 8104041512 12156062268 13892642592 16208083024 24312124536 32416166048 48624249072 97248498144