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99795337216 = 2186172
BaseRepresentation
bin101110011110001000…
…1000000000000000000
3100112120220112101200121
41130330101000000000
53113340101242331
6113502332230024
710132010241001
oct1347421000000
9315526471617
1099795337216
1139360958a03
121741130b314
1395452b1cc3
144b89bc71a8
1528e12adc11
hex173c440000

99795337216 has 57 divisors (see below), whose sum is σ = 199914303109. Its totient is φ = 49816797184.

The previous prime is 99795337171. The next prime is 99795337219. The reversal of 99795337216 is 61273359799.

The square root of 99795337216 is 315904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2890137600 + 96905199616 = 53760^2 + 311296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99795337219) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 161742540 + ... + 161743156.

Almost surely, 299795337216 is an apocalyptic number.

99795337216 is the 315904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99795337216

99795337216 is an abundant number, since it is smaller than the sum of its proper divisors (100118965893).

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

99795337216 is an frugal number, since it uses more digits than its factorization.

99795337216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 619 counting only the distinct ones).

The product of its digits is 19289340, while the sum is 61.

The spelling of 99795337216 in words is "ninety-nine billion, seven hundred ninety-five million, three hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 617 1024 1234 2048 2468 4096 4936 8192 9872 16384 19744 32768 39488 65536 78976 131072 157952 262144 315904 380689 631808 761378 1263616 1522756 2527232 3045512 5054464 6091024 10108928 12182048 20217856 24364096 40435712 48728192 80871424 97456384 161742848 194912768 389825536 779651072 1559302144 3118604288 6237208576 12474417152 24948834304 49897668608 99795337216