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97933231308 = 2231121071095783
BaseRepresentation
bin101101100110101000…
…1101000010011001100
3100100210010122121121010
41123031101220103030
53101031401400213
6112553453005220
710034606505543
oct1331521502314
9310703577533
1097933231308
1138595835200
1216b91783810
1393095885a3
144a5078515a
152832a88ac3
hex16cd4684cc

97933231308 has 144 divisors (see below), whose sum is σ = 255890638080. Its totient is φ = 29124627840.

The previous prime is 97933231289. The next prime is 97933231309. The reversal of 97933231308 is 80313233979.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (97933231309) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16931785 + ... + 16937567.

It is an arithmetic number, because the mean of its divisors is an integer number (1777018320).

Almost surely, 297933231308 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 97933231308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127945319040).

97933231308 is an abundant number, since it is smaller than the sum of its proper divisors (157957406772).

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

97933231308 is a wasteful number, since it uses less digits than its factorization.

97933231308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6028 (or 6015 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The spelling of 97933231308 in words is "ninety-seven billion, nine hundred thirty-three million, two hundred thirty-one thousand, three hundred eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 109 121 132 214 218 242 321 327 363 428 436 484 642 654 726 1177 1199 1284 1308 1452 2354 2398 3531 3597 4708 4796 5783 7062 7194 11566 11663 12947 13189 14124 14388 17349 23132 23326 25894 26378 34698 34989 38841 39567 46652 51788 52756 63613 69396 69978 77682 79134 127226 128293 139956 155364 158268 190839 254452 256586 381678 384879 513172 618781 630347 699743 763356 769758 1237562 1260694 1399486 1411223 1539516 1856343 1891041 2099229 2475124 2521388 2798972 2822446 3712686 3782082 4198458 4233669 5644892 6806591 6933817 7425372 7564164 8396916 8467338 13613182 13867634 16934676 20419773 20801451 27226364 27735268 40839546 41602902 67447129 74872501 76271987 81679092 83205804 134894258 149745002 152543974 202341387 224617503 228815961 269788516 299490004 305087948 404682774 449235006 457631922 741918419 809365548 898470012 915263844 1483836838 2225755257 2967673676 4451510514 8161102609 8903021028 16322205218 24483307827 32644410436 48966615654 97933231308