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96919161696 = 2532748074981
BaseRepresentation
bin101101001000011010…
…1010000101101100000
3100021011110111112121100
41122100311100231200
53041442301133241
6112305105554400
710000514165430
oct1322065205540
9307143445540
1096919161696
1138115381745
121694a045a00
1391a74633b6
144995c142c0
1527c3a289b6
hex1690d50b60

96919161696 has 72 divisors (see below), whose sum is σ = 314987282064. Its totient is φ = 27691188480.

The previous prime is 96919161683. The next prime is 96919161697. The reversal of 96919161696 is 69616191969.

96919161696 is a `hidden beast` number, since 9 + 6 + 9 + 1 + 9 + 1 + 616 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

96919161696 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96919161697) 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, 24035475 + ... + 24039506.

It is an arithmetic number, because the mean of its divisors is an integer number (4374823362).

Almost surely, 296919161696 is an apocalyptic number.

96919161696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96919161696 is an abundant number, since it is smaller than the sum of its proper divisors (218068120368).

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

96919161696 is a wasteful number, since it uses less digits than its factorization.

96919161696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48075004 (or 48074993 counting only the distinct ones).

The product of its digits is 8503056, while the sum is 63.

The spelling of 96919161696 in words is "ninety-six billion, nine hundred nineteen million, one hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 48074981 96149962 144224943 192299924 288449886 336524867 384599848 432674829 576899772 673049734 769199696 865349658 1009574601 1153799544 1346099468 1538399392 1730699316 2019149202 2307599088 2692198936 3028723803 3461398632 4038298404 4615198176 5384397872 6057447606 6922797264 8076596808 10768795744 12114895212 13845594528 16153193616 24229790424 32306387232 48459580848 96919161696