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97328922264 = 233272195632579
BaseRepresentation
bin101101010100101000…
…0010111111010011000
3100022020000112112102200
41122221100113322120
53043312201003024
6112413504330200
710013621121600
oct1325120277230
9308200475380
1097328922264
1138305703942
1216a43313960
139241311582
1449d43d9c00
1527e99b92c9
hex16a9417e98

97328922264 has 288 divisors, whose sum is σ = 323473176000. Its totient is φ = 26287680384.

The previous prime is 97328922217. The next prime is 97328922277. The reversal of 97328922264 is 46222982379.

97328922264 is a `hidden beast` number, since 9 + 7 + 328 + 92 + 226 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 97328922264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37737727 + ... + 37740305.

It is an arithmetic number, because the mean of its divisors is an integer number (1123170750).

Almost surely, 297328922264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97328922264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161736588000).

97328922264 is an abundant number, since it is smaller than the sum of its proper divisors (226144253736).

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

97328922264 is a wasteful number, since it uses less digits than its factorization.

97328922264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3173 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 97328922264 in words is "ninety-seven billion, three hundred twenty-eight million, nine hundred twenty-two thousand, two hundred sixty-four".