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97600468264 = 23131879349937
BaseRepresentation
bin101101011100101110…
…0001111010100101000
3100022220221111111111221
41122321130033110220
53044341204441024
6112500444431424
710023426202105
oct1327134172450
9308827444457
1097600468264
1138434a13422
1216aba248574
139285658c90
144a1c4c3aac
1528137573e4
hex16b970f528

97600468264 has 32 divisors (see below), whose sum is σ = 197092302120. Its totient is φ = 45043070976.

The previous prime is 97600468129. The next prime is 97600468279. The reversal of 97600468264 is 46286400679.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64494665764 + 33105802500 = 253958^2 + 181950^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1929504 + ... + 1979440.

Almost surely, 297600468264 is an apocalyptic number.

It is an amenable number.

97600468264 is an abundant number, since it is smaller than the sum of its proper divisors (99491833856).

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

97600468264 is a wasteful number, since it uses less digits than its factorization.

97600468264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68749 (or 68745 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 97600468264 in words is "ninety-seven billion, six hundred million, four hundred sixty-eight thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 18793 37586 49937 75172 99874 150344 199748 244309 399496 488618 649181 977236 1298362 1954472 2596724 5193448 938466041 1876932082 3753864164 7507728328 12200058533 24400117066 48800234132 97600468264