Search a number
-
+
1377370573304 = 2311619723311353
BaseRepresentation
bin10100000010110001101…
…011110000100111111000
311212200020022201210220012
4110002301223300213320
5140031323331321204
62532431051321052
7201340345462055
oct24026153604770
94780208653805
101377370573304
11491159865060
121a2b3a750188
139cb6855526b
144a94502202c
1525c6664e76e
hex140b1af09f8

1377370573304 has 128 divisors (see below), whose sum is σ = 2905728396480. Its totient is φ = 606796185600.

The previous prime is 1377370573301. The next prime is 1377370573331. The reversal of 1377370573304 is 4033750737731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377370573301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121316492 + ... + 121327844.

Almost surely, 21377370573304 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 1377370573304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452864198240).

1377370573304 is an abundant number, since it is smaller than the sum of its proper divisors (1528357823176).

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

1377370573304 is a wasteful number, since it uses less digits than its factorization.

1377370573304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11761 (or 11757 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 50.

The spelling of 1377370573304 in words is "one trillion, three hundred seventy-seven billion, three hundred seventy million, five hundred seventy-three thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 61 88 97 122 194 233 244 388 466 488 671 776 932 1067 1342 1864 2134 2563 2684 4268 5126 5368 5917 8536 10252 11353 11834 14213 20504 22601 22706 23668 28426 45202 45412 47336 56852 65087 90404 90824 113704 124883 130174 156343 180808 248611 249766 260348 312686 497222 499532 520696 625372 692533 994444 999064 1101241 1250744 1378661 1385066 1988888 2202482 2645249 2757322 2770132 4404964 5290498 5514644 5540264 7617863 8809928 10580996 11029288 12113651 15165271 15235726 21161992 24227302 29097739 30330542 30471452 48454604 58195478 60661084 60942904 67175701 96909208 116390956 121322168 134351402 161360189 232781912 256589153 268702804 322720378 513178306 537405608 645440756 738932711 1026356612 1290881512 1477865422 1774962079 2052713224 2822480683 2955730844 3549924158 5644961366 5911461688 7099848316 11289922732 14199696632 15651938333 22579845464 31303876666 62607753332 125215506664 172171321663 344342643326 688685286652 1377370573304