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97382084052 = 223112331202621
BaseRepresentation
bin101101010110001101…
…1001010110111010100
3100022100201120102200210
41122230123022313110
53043414303142202
6112423044005420
710015135025331
oct1325433126724
9308321512623
1097382084052
1138332714100
1216a59090870
13924c335b56
1449db4b7988
1527ee4bac6c
hex16ac6cadd4

97382084052 has 72 divisors (see below), whose sum is σ = 250515356896. Its totient is φ = 29420424000.

The previous prime is 97382084039. The next prime is 97382084077. The reversal of 97382084052 is 25048028379.

It is a junction number, because it is equal to n+sod(n) for n = 97382083992 and 97382084010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379302 + ... + 581922.

Almost surely, 297382084052 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 97382084052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125257678448).

97382084052 is an abundant number, since it is smaller than the sum of its proper divisors (153133272844).

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

97382084052 is a wasteful number, since it uses less digits than its factorization.

97382084052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202981 (or 202968 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 97382084052 in words is "ninety-seven billion, three hundred eighty-two million, eighty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 331 363 484 662 726 993 1324 1452 1986 3641 3972 7282 10923 14564 21846 40051 43692 80102 120153 160204 202621 240306 405242 480612 607863 810484 1215726 2228831 2431452 4457662 6686493 8915324 13372986 24517141 26745972 49034282 67067551 73551423 98068564 134135102 147102846 201202653 268270204 294205692 402405306 737743061 804810612 1475486122 2213229183 2950972244 4426458366 8115173671 8852916732 16230347342 24345521013 32460694684 48691042026 97382084052