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3813209190 = 233576730113
BaseRepresentation
bin1110001101001000…
…1111010001100110
3100211202020002122000
43203102033101212
530302140143230
61430214150130
7163331512650
oct34322172146
910752202560
103813209190
11168750355a
128a5052346
1348a0108cb
1428260d6d0
15174b79b60
hexe348f466

3813209190 has 128 divisors (see below), whose sum is σ = 11795051520. Its totient is φ = 858553344.

The previous prime is 3813209173. The next prime is 3813209203. The reversal of 3813209190 is 919023183.

3813209190 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38132091902 = 29081128653400912200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111574 + ... + 141686.

It is an arithmetic number, because the mean of its divisors is an integer number (92148840).

Almost surely, 23813209190 is an apocalyptic number.

3813209190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3813209190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5897525760).

3813209190 is an abundant number, since it is smaller than the sum of its proper divisors (7981842330).

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

3813209190 is a wasteful number, since it uses less digits than its factorization.

3813209190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30203 (or 30197 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3813209190 is about 61751.1877618560. The cubic root of 3813209190 is about 1562.2968016505.

The spelling of 3813209190 in words is "three billion, eight hundred thirteen million, two hundred nine thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 67 70 90 105 126 134 135 189 201 210 270 315 335 378 402 469 603 630 670 938 945 1005 1206 1407 1809 1890 2010 2345 2814 3015 3618 4221 4690 6030 7035 8442 9045 12663 14070 18090 21105 25326 30113 42210 60226 63315 90339 126630 150565 180678 210791 271017 301130 421582 451695 542034 632373 813051 903390 1053955 1264746 1355085 1626102 1897119 2017571 2107910 2710170 3161865 3794238 4035142 4065255 5691357 6052713 6323730 8130510 9485595 10087855 11382714 12105426 14122997 18158139 18971190 20175710 28245994 28456785 30263565 36316278 42368991 54474417 56913570 60527130 70614985 84737982 90790695 108948834 127106973 141229970 181581390 211844955 254213946 272372085 381320919 423689910 544744170 635534865 762641838 1271069730 1906604595 3813209190