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192993276100 = 225219722232
BaseRepresentation
bin1011001110111101001…
…0111011000011000100
3200110011000220020020211
42303233102323003010
511130222234313400
6224354311405204
716641360531352
oct2635722730304
9613130806224
10192993276100
1174936744899
12314a1083804
13152788008c1
1494ab6d47d2
15504827cdba
hex2cef4bb0c4

192993276100 has 81 divisors (see below), whose sum is σ = 422828117607. Its totient is φ = 76461026880.

The previous prime is 192993276097. The next prime is 192993276149. The reversal of 192993276100 is 1672399291.

The square root of 192993276100 is 439310.

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

It can be written as a sum of positive squares in 4 ways, for example, as 44503277764 + 148489998336 = 210958^2 + 385344^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 865440589 + ... + 865440811.

Almost surely, 2192993276100 is an apocalyptic number.

192993276100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

192993276100 is the 439310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192993276100

192993276100 is an abundant number, since it is smaller than the sum of its proper divisors (229834841507).

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

192993276100 is an equidigital number, since it uses as much as digits as its factorization.

192993276100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 49.

Multiplying 192993276100 by its sum of digits (49), we get a square (9456670528900 = 30751702).

The spelling of 192993276100 in words is "one hundred ninety-two billion, nine hundred ninety-three million, two hundred seventy-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 223 394 446 788 892 985 1115 1970 2230 3940 4460 4925 5575 9850 11150 19700 22300 38809 43931 49729 77618 87862 99458 155236 175724 194045 198916 219655 248645 388090 439310 497290 776180 878620 970225 994580 1098275 1243225 1940450 2196550 2486450 3880900 4393100 4972900 8654407 9796613 17308814 19593226 34617628 39186452 43272035 48983065 86544070 97966130 173088140 195932260 216360175 244915325 432720350 489830650 865440700 979661300 1929932761 3859865522 7719731044 9649663805 19299327610 38598655220 48248319025 96496638050 192993276100