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1338164022780 = 22325133118447257
BaseRepresentation
bin10011011110010000110…
…010101000110111111100
311201221000221200200110100
4103132100302220313330
5133411024442212110
62502424415041100
7165451644343044
oct23362062506774
94657027620410
101338164022780
1147656a783392
12197418510190
139925a9a1140
1448aa5d96724
1524c1e648bc0
hex13790ca8dfc

1338164022780 has 144 divisors (see below), whose sum is σ = 4512346884864. Its totient is φ = 318768583680.

The previous prime is 1338164022773. The next prime is 1338164022827. The reversal of 1338164022780 is 872204618331.

1338164022780 is a `hidden beast` number, since 1 + 3 + 381 + 6 + 40 + 227 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9151089 + ... + 9296168.

It is an arithmetic number, because the mean of its divisors is an integer number (31335742256).

Almost surely, 21338164022780 is an apocalyptic number.

1338164022780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338164022780 is an abundant number, since it is smaller than the sum of its proper divisors (3174182862084).

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

1338164022780 is a wasteful number, since it uses less digits than its factorization.

1338164022780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18447316 (or 18447311 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1338164022780 in words is "one trillion, three hundred thirty-eight billion, one hundred sixty-four million, twenty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 806 930 1116 1170 1209 1395 1612 1860 2015 2340 2418 2790 3627 4030 4836 5580 6045 7254 8060 12090 14508 18135 24180 36270 72540 18447257 36894514 55341771 73789028 92236285 110683542 166025313 184472570 221367084 239814341 276708855 332050626 368945140 479628682 553417710 571864967 664101252 719443023 830126565 959257364 1106835420 1143729934 1199071705 1438886046 1660253130 1715594901 2158329069 2287459868 2398143410 2859324835 2877772092 3320506260 3431189802 3597215115 4316658138 4796286820 5146784703 5718649670 6862379604 7194430230 7434244571 8577974505 8633316276 10293569406 10791645345 11437299340 14388860460 14868489142 17155949010 20587138812 21583290690 22302733713 25733923515 29736978284 34311898020 37171222855 43166581380 44605467426 51467847030 66908201139 74342445710 89210934852 102935694060 111513668565 133816402278 148684891420 223027337130 267632804556 334541005695 446054674260 669082011390 1338164022780