Search a number
-
+
10195446000 = 243537432287
BaseRepresentation
bin10010111111011001…
…00010100011110000
3222022112112022122010
421133230202203300
5131340013233000
64403403442520
7510436601235
oct113754424360
928275468563
1010195446000
114362077533
121b86526440
13c6633b9ac
146ca0bb78c
153ea117d50
hex25fb228f0

10195446000 has 160 divisors (see below), whose sum is σ = 32928749568. Its totient is φ = 2713939200.

The previous prime is 10195445983. The next prime is 10195446029. The reversal of 10195446000 is 64459101.

It is a happy number.

10195446000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 4456857 + ... + 4459143.

Almost surely, 210195446000 is an apocalyptic number.

10195446000 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 10195446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464374784).

10195446000 is an abundant number, since it is smaller than the sum of its proper divisors (22733303568).

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

10195446000 is a wasteful number, since it uses less digits than its factorization.

10195446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 10195446000 in words is "ten billion, one hundred ninety-five million, four hundred forty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 743 750 1000 1200 1486 1500 2000 2229 2287 2972 3000 3715 4458 4574 5944 6000 6861 7430 8916 9148 11145 11435 11888 13722 14860 17832 18296 18575 22290 22870 27444 29720 34305 35664 36592 37150 44580 45740 54888 55725 57175 59440 68610 74300 89160 91480 92875 109776 111450 114350 137220 148600 171525 178320 182960 185750 222900 228700 274440 278625 285875 297200 343050 371500 445800 457400 548880 557250 571750 686100 743000 857625 891600 914800 1114500 1143500 1372200 1486000 1699241 1715250 2229000 2287000 2744400 3398482 3430500 4458000 4574000 5097723 6796964 6861000 8496205 10195446 13593928 13722000 16992410 20390892 25488615 27187856 33984820 40781784 42481025 50977230 67969640 81563568 84962050 101954460 127443075 135939280 169924100 203908920 212405125 254886150 339848200 407817840 424810250 509772300 637215375 679696400 849620500 1019544600 1274430750 1699241000 2039089200 2548861500 3398482000 5097723000 10195446000