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96939093969 = 3259607300757
BaseRepresentation
bin101101001001000000…
…1010010111111010001
3100021012212000012112200
41122102001102333101
53042012402001334
6112311101113413
710001145463134
oct1322201227721
9307185005480
1096939093969
11381256560a3
1216954858869
1391ab621a43
14499872221b
1527c5664799
hex1692052fd1

96939093969 has 24 divisors (see below), whose sum is σ = 142631473920. Its totient is φ = 63425831328.

The previous prime is 96939093949. The next prime is 96939093997.

96939093969 is a `hidden beast` number, since 9 + 69 + 390 + 93 + 96 + 9 = 666.

96939093969 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 96939093969 - 27 = 96939093841 is a prime.

It is a super-2 number, since 2×969390939692 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96939093897 and 96939093906.

It is not an unprimeable number, because it can be changed into a prime (96939093949) 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 23 ways as a sum of consecutive naturals, for example, 171939 + ... + 472695.

It is an arithmetic number, because the mean of its divisors is an integer number (5942978080).

Almost surely, 296939093969 is an apocalyptic number.

It is an amenable number.

96939093969 is a deficient number, since it is larger than the sum of its proper divisors (45692379951).

96939093969 is a wasteful number, since it uses less digits than its factorization.

96939093969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301429 (or 301426 counting only the distinct ones).

The product of its (nonzero) digits is 172186884, while the sum is 72.

The spelling of 96939093969 in words is "ninety-six billion, nine hundred thirty-nine million, ninety-three thousand, nine hundred sixty-nine".

Divisors: 1 3 9 59 177 531 607 1821 5463 35813 107439 300757 322317 902271 2706813 17744663 53233989 159701967 182559499 547678497 1643035491 10771010441 32313031323 96939093969