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107189385444 = 223210139774257
BaseRepresentation
bin110001111010011111…
…1000011100011100100
3101020200012201222000200
41203310333003203210
53224010440313234
6121124144310500
710513152512631
oct1436477034344
9336605658020
10107189385444
1141505682869
1218935612430
13a15312447b
14528bbd9188
152bc54b2d99
hex18f4fc38e4

107189385444 has 72 divisors (see below), whose sum is σ = 274326576888. Its totient is φ = 35286451200.

The previous prime is 107189385431. The next prime is 107189385487. The reversal of 107189385444 is 444583981701.

107189385444 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 8 + 93 + 8 + 544 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18140857344 + 89048528100 = 134688^2 + 298410^2 .

It is a super-2 number, since 2×1071893854442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1406364 + ... + 1480620.

Almost surely, 2107189385444 is an apocalyptic number.

It is an amenable number.

107189385444 is an abundant number, since it is smaller than the sum of its proper divisors (167137191444).

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

107189385444 is a wasteful number, since it uses less digits than its factorization.

107189385444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74765 (or 74760 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 107189385444 in words is "one hundred seven billion, one hundred eighty-nine million, three hundred eighty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 397 404 606 794 909 1191 1212 1588 1818 2382 3573 3636 4764 7146 14292 40097 74257 80194 120291 148514 160388 222771 240582 297028 360873 445542 481164 668313 721746 891084 1336626 1443492 2673252 7499957 14999914 22499871 29480029 29999828 44999742 58960058 67499613 88440087 89999484 117920116 134999226 176880174 265320261 269998452 353760348 530640522 1061281044 2977482929 5954965858 8932448787 11909931716 17864897574 26797346361 35729795148 53594692722 107189385444