Search a number
-
+
1388757328050 = 2352192711179743
BaseRepresentation
bin10100001101011000011…
…000110010000010110010
311220202121212220212220110
4110031120120302002302
5140223133333444200
62541553013122150
7202222462342551
oct24153030620262
94822555825813
101388757328050
11495a72341474
121a5198029356
13a0c61634471
144b305409d98
15261d1137b50
hex143586320b2

1388757328050 has 96 divisors (see below), whose sum is σ = 3626745016320. Its totient is φ = 350712590400.

The previous prime is 1388757328037. The next prime is 1388757328093. The reversal of 1388757328050 is 508237578831.

It is a super-3 number, since 3×13887573280503 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 7636479 + ... + 7816221.

It is an arithmetic number, because the mean of its divisors is an integer number (37778593920).

Almost surely, 21388757328050 is an apocalyptic number.

1388757328050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1388757328050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813372508160).

1388757328050 is an abundant number, since it is smaller than the sum of its proper divisors (2237987688270).

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

1388757328050 is a wasteful number, since it uses less digits than its factorization.

1388757328050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182488 (or 182483 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 1388757328050 in words is "one trillion, three hundred eighty-eight billion, seven hundred fifty-seven million, three hundred twenty-eight thousand, fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1425 2711 2850 5422 8133 13555 16266 27110 40665 51509 67775 81330 103018 135550 154527 179743 203325 257545 309054 359486 406650 515090 539229 772635 898715 1078458 1287725 1545270 1797430 2575450 2696145 3415117 3863175 4493575 5392290 6830234 7726350 8987150 10245351 13480725 17075585 20490702 26961450 34151170 51226755 85377925 102453510 170755850 256133775 487283273 512267550 974566546 1461849819 2436416365 2923699638 4872832730 7309249095 9258382187 12182081825 14618498190 18516764374 24364163650 27775146561 36546245475 46291910935 55550293122 73092490950 92583821870 138875732805 231459554675 277751465610 462919109350 694378664025 1388757328050