Search a number
-
+
97443371376 = 24321363182493
BaseRepresentation
bin101101011000000010…
…0111101100101110000
3100022111222220011002200
41122300010331211300
53044031000341001
6112433113343200
710016510663511
oct1326004754560
9308458804080
1097443371376
113836427418a
1216a75707b00
13925bc43a40
144a056aca08
152804a75086
hex16b013d970

97443371376 has 120 divisors (see below), whose sum is σ = 294152485536. Its totient is φ = 29934696960.

The previous prime is 97443371369. The next prime is 97443371419. The reversal of 97443371376 is 67317334479.

97443371376 is a `hidden beast` number, since 9 + 74 + 433 + 7 + 137 + 6 = 666.

It is a super-2 number, since 2×974433713762 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1139986 + ... + 1222478.

Almost surely, 297443371376 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 97443371376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147076242768).

97443371376 is an abundant number, since it is smaller than the sum of its proper divisors (196709114160).

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

97443371376 is a wasteful number, since it uses less digits than its factorization.

97443371376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83151 (or 83142 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 54.

The spelling of 97443371376 in words is "ninety-seven billion, four hundred forty-three million, three hundred seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 631 936 1262 1872 1893 2524 3786 5048 5679 7572 8203 10096 11358 15144 16406 22716 24609 30288 32812 45432 49218 65624 73827 82493 90864 98436 131248 147654 164986 196872 247479 295308 329972 393744 494958 590616 659944 742437 989916 1072409 1181232 1319888 1484874 1979832 2144818 2969748 3217227 3959664 4289636 5939496 6434454 8579272 9651681 11878992 12868908 17158544 19303362 25737816 38606724 51475632 52053083 77213448 104106166 154426896 156159249 208212332 312318498 416424664 468477747 624636996 676690079 832849328 936955494 1249273992 1353380158 1873910988 2030070237 2498547984 2706760316 3747821976 4060140474 5413520632 6090210711 7495643952 8120280948 10827041264 12180421422 16240561896 24360842844 32481123792 48721685688 97443371376