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96109419600 = 24325226697061
BaseRepresentation
bin101100110000010010…
…0010101110001010000
3100012002000211101021100
41121200210111301100
53033313002411400
6112052502224400
76641452405335
oct1314044256120
9305060741240
1096109419600
113783a2974a7
1216762a25100
1390a877c16c
14491a47098c
1527778ca100
hex1660915c50

96109419600 has 90 divisors (see below), whose sum is σ = 333526395566. Its totient is φ = 25629177600.

The previous prime is 96109419589. The next prime is 96109419611. The reversal of 96109419600 is 691490169.

It is an interprime number because it is at equal distance from previous prime (96109419589) and next prime (96109419611).

It can be written as a sum of positive squares in 3 ways, for example, as 20125394496 + 75984025104 = 141864^2 + 275652^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13344931 + ... + 13352130.

Almost surely, 296109419600 is an apocalyptic number.

96109419600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96109419600 is an abundant number, since it is smaller than the sum of its proper divisors (237416975966).

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

96109419600 is a wasteful number, since it uses less digits than its factorization.

96109419600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26697085 (or 26697071 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 96109419600 in words is "ninety-six billion, one hundred nine million, four hundred nineteen thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 26697061 53394122 80091183 106788244 133485305 160182366 213576488 240273549 266970610 320364732 400455915 427152976 480547098 533941220 640729464 667426525 800911830 961094196 1067882440 1201367745 1281458928 1334853050 1601823660 1922188392 2002279575 2135764880 2402735490 2669706100 3203647320 3844376784 4004559150 4805470980 5339412200 6006838725 6407294640 8009118300 9610941960 10678824400 12013677450 16018236600 19221883920 24027354900 32036473200 48054709800 96109419600