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190023125904 = 24334711538117
BaseRepresentation
bin1011000011111001000…
…0101100101110010000
3200011111001000222011000
42300332100230232100
511103131410012104
6223143451022000
716504643630343
oct2607620545620
9604431028130
10190023125904
1173652112007
12309b243a900
1314bc436ab91
1492a905c45a
154e22633639
hex2c3e42cb90

190023125904 has 160 divisors (see below), whose sum is σ = 557593597440. Its totient is φ = 61931962368.

The previous prime is 190023125899. The next prime is 190023125923. The reversal of 190023125904 is 409521320091.

It is a super-2 number, since 2×1900231259042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23406454 + ... + 23414570.

It is an arithmetic number, because the mean of its divisors is an integer number (3484959984).

Almost surely, 2190023125904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190023125904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278796798720).

190023125904 is an abundant number, since it is smaller than the sum of its proper divisors (367570471536).

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

190023125904 is a wasteful number, since it uses less digits than its factorization.

190023125904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9334 (or 9322 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Adding to 190023125904 its reverse (409521320091), we get a palindrome (599544445995).

The spelling of 190023125904 in words is "one hundred ninety billion, twenty-three million, one hundred twenty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1153 1269 1692 2256 2306 2538 3384 3459 4612 5076 6768 6918 8117 9224 10152 10377 13836 16234 18448 20304 20754 24351 27672 31131 32468 41508 48702 54191 55344 62262 64936 73053 83016 97404 108382 124524 129872 146106 162573 166032 194808 216764 219159 249048 292212 325146 381499 389616 433528 438318 487719 498096 584424 650292 762998 867056 876636 975438 1144497 1168848 1300584 1463157 1525996 1753272 1950876 2288994 2601168 2926314 3051992 3433491 3506544 3901752 4577988 5852628 6103984 6866982 7803504 9155976 9358901 10300473 11705256 13733964 18311952 18717802 20600946 23410512 27467928 28076703 37435604 41201892 54935856 56153406 74871208 82403784 84230109 112306812 149742416 164807568 168460218 224613624 252690327 336920436 439868347 449227248 505380654 673840872 879736694 1010761308 1319605041 1347681744 1759473388 2021522616 2639210082 3518946776 3958815123 4043045232 5278420164 7037893552 7917630246 10556840328 11876445369 15835260492 21113680656 23752890738 31670520984 47505781476 63341041968 95011562952 190023125904