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190983700480 = 2185145709
BaseRepresentation
bin1011000111011110000…
…1000000000000000000
3200020221222112012202011
42301313201000000000
511112113311403410
6223423043302304
716540516445326
oct2616741000000
9606858465664
10190983700480
1173aa53579a1
123102007a994
1315018382bc1
14935a865d16
154e7bb2818a
hex2c77840000

190983700480 has 76 divisors (see below), whose sum is σ = 458363152620. Its totient is φ = 76392955904.

The previous prime is 190983700477. The next prime is 190983700499. The reversal of 190983700480 is 84007389091.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50520653824 + 140463046656 = 224768^2 + 374784^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1237866 + ... + 1383574.

Almost surely, 2190983700480 is an apocalyptic number.

190983700480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190983700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229181576310).

190983700480 is an abundant number, since it is smaller than the sum of its proper divisors (267379452140).

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

190983700480 is an frugal number, since it uses more digits than its factorization.

190983700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145750 (or 145716 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 190983700480 in words is "one hundred ninety billion, nine hundred eighty-three million, seven hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16384 20480 32768 40960 65536 81920 131072 145709 163840 262144 291418 327680 582836 655360 728545 1165672 1310720 1457090 2331344 2914180 4662688 5828360 9325376 11656720 18650752 23313440 37301504 46626880 74603008 93253760 149206016 186507520 298412032 373015040 596824064 746030080 1193648128 1492060160 2387296256 2984120320 4774592512 5968240640 9549185024 11936481280 19098370048 23872962560 38196740096 47745925120 95491850240 190983700480