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97966084920 = 233511409181459
BaseRepresentation
bin101101100111100111…
…0111101001100111000
3100100212102110202021120
41123033032331030320
53101113304204140
6113001025105240
710035455660634
oct1331716751470
9310772422246
1097966084920
1138602334650
1216ba0788220
13931331c3b2
144a54c97dc4
1528358c81d0
hex16cf3bd338

97966084920 has 128 divisors (see below), whose sum is σ = 321401952000. Its totient is φ = 23691156480.

The previous prime is 97966084913. The next prime is 97966084949. The reversal of 97966084920 is 2948066979.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 449151 + ... + 630609.

It is an arithmetic number, because the mean of its divisors is an integer number (2510952750).

Almost surely, 297966084920 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 97966084920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160700976000).

97966084920 is an abundant number, since it is smaller than the sum of its proper divisors (223435867080).

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

97966084920 is a wasteful number, since it uses less digits than its factorization.

97966084920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181893 (or 181889 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 97966084920 in words is "ninety-seven billion, nine hundred sixty-six million, eighty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 409 440 660 818 1227 1320 1636 2045 2454 3272 4090 4499 4908 6135 8180 8998 9816 12270 13497 16360 17996 22495 24540 26994 35992 44990 49080 53988 67485 89980 107976 134970 179960 181459 269940 362918 539880 544377 725836 907295 1088754 1451672 1814590 1996049 2177508 2721885 3629180 3992098 4355016 5443770 5988147 7258360 7984196 9980245 10887540 11976294 15968392 19960490 21775080 23952588 29940735 39920980 47905176 59881470 74216731 79841960 119762940 148433462 222650193 239525880 296866924 371083655 445300386 593733848 742167310 816384041 890600772 1113250965 1484334620 1632768082 1781201544 2226501930 2449152123 2968669240 3265536164 4081920205 4453003860 4898304246 6531072328 8163840410 8906007720 9796608492 12245760615 16327680820 19593216984 24491521230 32655361640 48983042460 97966084920