Search a number
-
+
1381789770084 = 223450915675347
BaseRepresentation
bin10100000110111001000…
…101101010000101100100
311220002122022020021020000
4110012321011222011210
5140114401140120314
62534441354141300
7201555016152513
oct24067105520544
94802568207200
101381789770084
11493017335aa9
121a3972721830
13a03c0c79bb9
144ac43cd667a
1525e245cb209
hex141b916a164

1381789770084 has 120 divisors (see below), whose sum is σ = 3622355278080. Its totient is φ = 459312410304.

The previous prime is 1381789770073. The next prime is 1381789770091. The reversal of 1381789770084 is 4800779871831.

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 39 ways as a sum of consecutive naturals, for example, 258420699 + ... + 258426045.

It is an arithmetic number, because the mean of its divisors is an integer number (30186293984).

Almost surely, 21381789770084 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 1381789770084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811177639040).

1381789770084 is an abundant number, since it is smaller than the sum of its proper divisors (2240565507996).

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

1381789770084 is a wasteful number, since it uses less digits than its factorization.

1381789770084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7439 (or 7428 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 1381789770084 in words is "one trillion, three hundred eighty-one billion, seven hundred eighty-nine million, seven hundred seventy thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 509 1018 1527 1567 2036 3054 3134 4581 4701 5347 6108 6268 9162 9402 10694 13743 14103 16041 18324 18804 21388 27486 28206 32082 41229 42309 48123 54972 56412 64164 82458 84618 96246 126927 144369 164916 169236 192492 253854 288738 433107 507708 577476 797603 866214 1595206 1732428 2392809 2721623 3190412 4785618 5443246 7178427 8164869 8378749 9571236 10886492 14356854 16329738 16757498 21535281 24494607 25136247 28713708 32659476 33514996 43070562 48989214 50272494 64605843 73483821 75408741 86141124 97978428 100544988 129211686 146967642 150817482 220451463 226226223 258423372 293935284 301634964 440902926 452452446 678678669 881805852 904904892 1357357338 2714714676 4264783241 8529566482 12794349723 17059132964 25588699446 38383049169 51177398892 76766098338 115149147507 153532196676 230298295014 345447442521 460596590028 690894885042 1381789770084