Search a number
-
+
97769256816 = 24371126452721
BaseRepresentation
bin101101100001110000…
…0000111011101110000
3100100100201002211212210
41123003200013131300
53100212412204231
6112525314252120
710030545654030
oct1330340073560
9310321084783
1097769256816
11385112187a0
1216b46887040
1392b1605a6a
144a36a9d8c0
152823498a46
hex16c3807770

97769256816 has 80 divisors (see below), whose sum is σ = 314893202688. Its totient is φ = 25394611200.

The previous prime is 97769256811. The next prime is 97769256817. The reversal of 97769256816 is 61865296779.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97769256811) 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 15 ways as a sum of consecutive naturals, for example, 13222665 + ... + 13230056.

Almost surely, 297769256816 is an apocalyptic number.

It is an amenable number.

97769256816 is an abundant number, since it is smaller than the sum of its proper divisors (217123945872).

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

97769256816 is a wasteful number, since it uses less digits than its factorization.

97769256816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26452750 (or 26452744 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 66.

The spelling of 97769256816 in words is "ninety-seven billion, seven hundred sixty-nine million, two hundred fifty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 26452721 52905442 79358163 105810884 158716326 185169047 211621768 290979931 317432652 370338094 423243536 555507141 581959862 634865304 740676188 872939793 1111014282 1163919724 1269730608 1481352376 1745879586 2036859517 2222028564 2327839448 2962704752 3491759172 4073719034 4444057128 4655678896 6110578551 6983518344 8147438068 8888114256 12221157102 13967036688 16294876136 24442314204 32589752272 48884628408 97769256816