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103191247984 = 24112983243587
BaseRepresentation
bin110000000011010101…
…1010111110001110000
3100212100120112112111111
41200012223113301300
53142313424413414
6115223322323104
710312114064326
oct1400653276160
9325316475444
10103191247984
113a843850a30
1217bba659494
139966a05766
144dccc0bd16
152a3e4a98c4
hex1806ad7c70

103191247984 has 80 divisors (see below), whose sum is σ = 228349134720. Its totient is φ = 44741876480.

The previous prime is 103191247969. The next prime is 103191247993. The reversal of 103191247984 is 489742191301.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 301839 + ... + 545425.

It is an arithmetic number, because the mean of its divisors is an integer number (2854364184).

Almost surely, 2103191247984 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 103191247984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114174567360).

103191247984 is an abundant number, since it is smaller than the sum of its proper divisors (125157886736).

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

103191247984 is a wasteful number, since it uses less digits than its factorization.

103191247984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243718 (or 243712 counting only the distinct ones).

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

The spelling of 103191247984 in words is "one hundred three billion, one hundred ninety-one million, two hundred forty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 83 88 116 166 176 232 319 332 464 638 664 913 1276 1328 1826 2407 2552 3652 4814 5104 7304 9628 14608 19256 26477 38512 52954 105908 211816 243587 423632 487174 974348 1948696 2679457 3897392 5358914 7064023 10717828 14128046 20217721 21435656 28256092 40435442 42871312 56512184 77704253 80870884 113024368 155408506 161741768 222394931 310817012 323483536 444789862 586313909 621634024 889579724 1172627818 1243268048 1779159448 2345255636 3558318896 4690511272 6449452999 9381022544 12898905998 25797811996 51595623992 103191247984