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96993248274 = 2321336736607
BaseRepresentation
bin101101001010100111…
…1111000010000010010
3100021100121220112021200
41122111033320100102
53042120232421044
6112320313532030
710002404002326
oct1322517702022
9307317815250
1096993248274
113815318401a
121696aa14016
1391b9903000
1449a19bb986
1527ca2b0369
hex16953f8412

96993248274 has 96 divisors (see below), whose sum is σ = 231060910080. Its totient is φ = 29397839328.

The previous prime is 96993248269. The next prime is 96993248293. The reversal of 96993248274 is 47284239969.

96993248274 is a `hidden beast` number, since 9 + 69 + 93 + 2 + 482 + 7 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2631279 + ... + 2667885.

It is an arithmetic number, because the mean of its divisors is an integer number (2406884480).

Almost surely, 296993248274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96993248274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115530455040).

96993248274 is an abundant number, since it is smaller than the sum of its proper divisors (134067661806).

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

96993248274 is a wasteful number, since it uses less digits than its factorization.

96993248274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36721 (or 36692 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 96993248274 in words is "ninety-six billion, nine hundred ninety-three million, two hundred forty-eight thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 67 78 117 134 169 201 234 338 402 507 603 871 1014 1206 1521 1742 2197 2613 3042 4394 5226 6591 7839 11323 13182 15678 19773 22646 33969 36607 39546 67938 73214 101907 109821 147199 203814 219642 294398 329463 441597 475891 658926 883194 951782 1324791 1427673 2452669 2649582 2855346 4283019 4905338 6186583 7358007 8566038 12373166 14716014 18559749 22074021 31884697 37119498 44148042 55679247 63769394 80425579 95654091 111358494 160851158 191308182 241276737 286962273 414501061 482553474 573924546 723830211 829002122 1243503183 1447660422 2487006366 3730509549 5388513793 7461019098 10777027586 16165541379 32331082758 48496624137 96993248274