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97309969904 = 24753148111069
BaseRepresentation
bin101101010100000100…
…0000100110111110000
3100022011200212122200102
41122220020010313300
53043242323014104
6112411550211532
710013301045110
oct1325010046760
9308150778612
1097309969904
11382a5a39734
1216a38ab3ba8
13923a406c64
1449d1aa5040
1527e7ec3a1e
hex16a8204df0

97309969904 has 80 divisors (see below), whose sum is σ = 219705670080. Its totient is φ = 40886077440.

The previous prime is 97309969879. The next prime is 97309969907. The reversal of 97309969904 is 40996990379.

It is a pancake number, because a pancake can be divided into 97309969904 parts by 441157 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97309969907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8785682 + ... + 8796750.

It is an arithmetic number, because the mean of its divisors is an integer number (2746320876).

Almost surely, 297309969904 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 97309969904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109852835040).

97309969904 is an abundant number, since it is smaller than the sum of its proper divisors (122395700176).

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

97309969904 is a wasteful number, since it uses less digits than its factorization.

97309969904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12618 (or 12612 counting only the distinct ones).

The product of its (nonzero) digits is 29760696, while the sum is 65.

The spelling of 97309969904 in words is "ninety-seven billion, three hundred nine million, nine hundred sixty-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1481 1484 2962 2968 5924 5936 10367 11069 11848 20734 22138 23696 41468 44276 77483 78493 82936 88552 154966 156986 165872 177104 309932 313972 549451 586657 619864 627944 1098902 1173314 1239728 1255888 2197804 2346628 4106599 4395608 4693256 8213198 8791216 9386512 16393189 16426396 32786378 32852792 65572756 65705584 114752323 131145512 229504646 262291024 459009292 868839017 918018584 1737678034 1836037168 3475356068 6081873119 6950712136 12163746238 13901424272 24327492476 48654984952 97309969904