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190861439184 = 24341311328433
BaseRepresentation
bin1011000111000000111…
…0100111000011010000
3200020122110110200210000
42301300032213003100
511111341012023214
6223402555010000
716534503315363
oct2616016470320
9606573420700
10190861439184
1173a423411a9
1230ba7139900
1314cc8c46940
14934851c0da
154e71027809
hex2c703a70d0

190861439184 has 100 divisors (see below), whose sum is σ = 594901383076. Its totient is φ = 58726591488.

The previous prime is 190861439183. The next prime is 190861439207. The reversal of 190861439184 is 481934168091.

190861439184 is a `hidden beast` number, since 1 + 9 + 0 + 8 + 614 + 3 + 9 + 18 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22374176400 + 168487262784 = 149580^2 + 410472^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 190861439184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190861439183) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5647369 + ... + 5681064.

Almost surely, 2190861439184 is an apocalyptic number.

It is an amenable number.

190861439184 is an abundant number, since it is smaller than the sum of its proper divisors (404039943892).

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

190861439184 is a wasteful number, since it uses less digits than its factorization.

190861439184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11328466 (or 11328451 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 190861439184 in words is "one hundred ninety billion, eight hundred sixty-one million, four hundred thirty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 11328433 22656866 33985299 45313732 67970598 90627464 101955897 135941196 147269629 181254928 203911794 271882392 294539258 305867691 407823588 441808887 543764784 589078516 611735382 815647176 883617774 917603073 1178157032 1223470764 1325426661 1631294352 1767235548 1835206146 2356314064 2446941528 2650853322 3534471096 3670412292 3976279983 4893883056 5301706644 7068942192 7340824584 7952559966 10603413288 11928839949 14681649168 15905119932 21206826576 23857679898 31810239864 47715359796 63620479728 95430719592 190861439184