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190556387420 = 225717487716417
BaseRepresentation
bin1011000101111000001…
…0111011100001011100
3200012212012110110102112
42301132002323201130
511110224413344140
6223312420413152
716524110365550
oct2613602734134
9605765413375
10190556387420
11738a6127303
1230b20b471b8
1314c7a99a639
149319bd1860
154e5436bc65
hex2c5e0bb85c

190556387420 has 96 divisors (see below), whose sum is σ = 484366200192. Its totient is φ = 61474111488.

The previous prime is 190556387407. The next prime is 190556387443. The reversal of 190556387420 is 24783655091.

It is a happy number.

190556387420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1905563874202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11599052 + ... + 11615468.

It is an arithmetic number, because the mean of its divisors is an integer number (5045481252).

It is a 1-persistent number, because it is pandigital, but 2⋅190556387420 = 381112774840 is not.

Almost surely, 2190556387420 is an apocalyptic number.

190556387420 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 190556387420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242183100096).

190556387420 is an abundant number, since it is smaller than the sum of its proper divisors (293809812772).

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

190556387420 is a wasteful number, since it uses less digits than its factorization.

190556387420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21327 (or 21325 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 190556387420 in words is "one hundred ninety billion, five hundred fifty-six million, three hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 4877 9754 16417 19508 24385 32834 34139 48770 65668 68278 82085 82909 97540 114919 136556 164170 165818 170695 229838 279089 328340 331636 341390 414545 459676 558178 574595 580363 682780 829090 1116356 1149190 1160726 1395445 1658180 1953623 2298380 2321452 2790890 2901815 3907246 5581780 5803630 7814492 9768115 11607260 19536230 39072460 80065709 160131418 320262836 400328545 560459963 800657090 1120919926 1361117053 1601314180 2241839852 2722234106 2802299815 5444468212 5604599630 6805585265 9527819371 11209199260 13611170530 19055638742 27222341060 38111277484 47639096855 95278193710 190556387420