Search a number
-
+
96942693384 = 23322946428493
BaseRepresentation
bin101101001001000111…
…1000001110000001000
3100021020002210002000100
41122102033001300020
53042014312142014
6112311310205400
710001221204065
oct1322217016010
9307202702010
1096942693384
1138127694419
1216955ab3860
1391ac2b2184
144998dbbc6c
1527c5b26009
hex16923c1c08

96942693384 has 48 divisors (see below), whose sum is σ = 271606689900. Its totient is φ = 31199946624.

The previous prime is 96942693383. The next prime is 96942693391. The reversal of 96942693384 is 48339624969.

96942693384 is a `hidden beast` number, since 96 + 9 + 426 + 93 + 38 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96645130884 + 297562500 = 310878^2 + 17250^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (96942693383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23212159 + ... + 23216334.

Almost surely, 296942693384 is an apocalyptic number.

It is an amenable number.

96942693384 is an abundant number, since it is smaller than the sum of its proper divisors (174663996516).

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

96942693384 is a wasteful number, since it uses less digits than its factorization.

96942693384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46428534 (or 46428527 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 96942693384 in words is "ninety-six billion, nine hundred forty-two million, six hundred ninety-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 46428493 92856986 139285479 185713972 278570958 371427944 417856437 557141916 835712874 1114283832 1346426297 1671425748 2692852594 3342851496 4039278891 5385705188 8078557782 10771410376 12117836673 16157115564 24235673346 32314231128 48471346692 96942693384