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97340120004 = 223176714947797
BaseRepresentation
bin101101010100111101…
…1000101101111000100
3100022020210121102211210
41122221323011233010
53043323032320004
6112414544331420
710014115240221
oct1325173055704
9308223542753
1097340120004
1138310a61976
1216a47013b70
13924373235a
1449d5ab2948
1527ea97c089
hex16a9ec5bc4

97340120004 has 96 divisors (see below), whose sum is σ = 245719958400. Its totient is φ = 29879764992.

The previous prime is 97340119951. The next prime is 97340120023. The reversal of 97340120004 is 40002104379.

It is a happy number.

97340120004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2012634 + ... + 2060430.

It is an arithmetic number, because the mean of its divisors is an integer number (2559582900).

Almost surely, 297340120004 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 97340120004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122859979200).

97340120004 is an abundant number, since it is smaller than the sum of its proper divisors (148379838396).

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

97340120004 is a wasteful number, since it uses less digits than its factorization.

97340120004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48037 (or 48035 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 97340120004 in words is "ninety-seven billion, three hundred forty million, one hundred twenty thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 149 201 204 268 298 402 447 596 804 894 1139 1788 2278 2533 3417 4556 5066 6834 7599 9983 10132 13668 15198 19966 29949 30396 39932 47797 59898 95594 119796 143391 169711 191188 286782 339422 509133 573564 678844 812549 1018266 1625098 2036532 2437647 3202399 3250196 4875294 6404798 7121753 9607197 9750588 12809596 14243506 19214394 21365259 28487012 38428788 42730518 54440783 85461036 108881566 121069801 163322349 217763132 242139602 326644698 363209403 477157451 484279204 653289396 726418806 954314902 1431472353 1452837612 1908629804 2862944706 5725889412 8111676667 16223353334 24335030001 32446706668 48670060002 97340120004