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97010735316 = 2231143143311927
BaseRepresentation
bin101101001011001001…
…0100101100011010100
3100021101211210221222220
41122112102211203110
53042134222012231
6112322140422340
710003005434055
oct1322622454324
9307354727886
1097010735316
1138162038320
12169748479b0
1391c0416681
1449a405072c
1527cbab6896
hex16964a58d4

97010735316 has 96 divisors (see below), whose sum is σ = 252876653568. Its totient is φ = 28691093760.

The previous prime is 97010735257. The next prime is 97010735383. The reversal of 97010735316 is 61353701079.

It is a super-3 number, since 3×970107353163 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8127745 + ... + 8139671.

It is an arithmetic number, because the mean of its divisors is an integer number (2634131808).

Almost surely, 297010735316 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 97010735316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126438326784).

97010735316 is an abundant number, since it is smaller than the sum of its proper divisors (155865918252).

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

97010735316 is a wasteful number, since it uses less digits than its factorization.

97010735316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13421 (or 13419 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The spelling of 97010735316 in words is "ninety-seven billion, ten million, seven hundred thirty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1433 1892 2838 2866 4299 5676 5732 8598 11927 15763 17196 23854 31526 35781 47289 47708 61619 63052 71562 94578 123238 131197 143124 184857 189156 246476 262394 369714 393591 512861 524788 677809 739428 787182 1025722 1355618 1538583 1574364 2033427 2051444 2711236 3077166 4066854 5641471 6154332 8133708 11282942 16924413 17091391 22565884 33848826 34182782 51274173 67697652 68365564 102548346 188005301 205096692 376010602 564015903 734929813 752021204 1128031806 1469859626 2204789439 2256063612 2939719252 4409578878 8084227943 8819157756 16168455886 24252683829 32336911772 48505367658 97010735316