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97156348408328 = 23112294289806941
BaseRepresentation
bin10110000101110011111001…
…101000100111001000001000
3110202000001111222011022202112
4112011303321220213020020
5100213302200143031303
6542345002120121452
726315212612342406
oct2605637150471010
9422001458138675
1097156348408328
1128a588598a7800
12aa91674606288
134229a5c1aab31
1419dc56c890476
15b373d61650d8
hex585cf9a27208

97156348408328 has 96 divisors (see below), whose sum is σ = 207187603623000. Its totient is φ = 42629155430400.

The previous prime is 97156348408319. The next prime is 97156348408337. The reversal of 97156348408328 is 82380484365179.

97156348408328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (97156348408319) and next prime (97156348408337).

It can be written as a sum of positive squares in 4 ways, for example, as 95982423831844 + 1173924576484 = 9797062^2 + 1083478^2 .

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, 119997338 + ... + 120804278.

It is a 1-persistent number, because it is pandigital, but 2⋅97156348408328 = 194312696816656 is not.

Almost surely, 297156348408328 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 97156348408328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103593801811500).

97156348408328 is an abundant number, since it is smaller than the sum of its proper divisors (110031255214672).

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

97156348408328 is a wasteful number, since it uses less digits than its factorization.

97156348408328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811287 (or 811272 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 68.

The spelling of 97156348408328 in words is "ninety-seven trillion, one hundred fifty-six billion, three hundred forty-eight million, four hundred eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 121 232 242 319 484 638 968 1276 2552 3509 4289 7018 8578 14036 17156 28072 34312 47179 94358 124381 188716 248762 377432 497524 518969 806941 995048 1037938 1368191 1613882 2075876 2736382 3227764 4151752 5472764 6455528 8876351 10945528 15050101 17752702 23401289 30100202 35505404 46802578 60200404 71010808 93605156 97639861 120400808 187210312 195279722 257414179 390559444 514828358 781118888 1029656716 2059313432 2831555969 3460969949 5663111938 6921939898 11326223876 13843879796 22652447752 27687759592 38070669439 76141338878 100368128521 152282677756 200736257042 304565355512 401472514084 418777363829 802945028168 837554727658 1104049413731 1675109455316 2208098827462 3350218910632 4416197654924 8832395309848 12144543551041 24289087102082 48578174204164 97156348408328