Search a number
-
+
1728387112830 = 235747538732507
BaseRepresentation
bin11001001001101011111…
…001100101111101111110
320010020021021021120100020
4121021223321211331332
5211304214100102310
63402002102113010
7235605021025320
oct31115371457576
96106237246306
101728387112830
11607006514614
1223ab8141b766
13c6ca8902061
145d9238a9610
152ee5ca50170
hex1926be65f7e

1728387112830 has 128 divisors (see below), whose sum is σ = 4842633019392. Its totient is φ = 386570713728.

The previous prime is 1728387112787. The next prime is 1728387112867. The reversal of 1728387112830 is 382117838271.

It is a happy number.

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, 53153437 + ... + 53185943.

It is an arithmetic number, because the mean of its divisors is an integer number (37833070464).

Almost surely, 21728387112830 is an apocalyptic number.

1728387112830 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 1728387112830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421316509696).

1728387112830 is an abundant number, since it is smaller than the sum of its proper divisors (3114245906562).

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

1728387112830 is a wasteful number, since it uses less digits than its factorization.

1728387112830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37958.

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 1728387112830 in words is "one trillion, seven hundred twenty-eight billion, three hundred eighty-seven million, one hundred twelve thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1974 3290 4935 5387 9870 10774 16161 26935 32322 32507 37709 53870 65014 75418 80805 97521 113127 161610 162535 188545 195042 226254 227549 253189 325070 377090 455098 487605 506378 565635 682647 759567 975210 1131270 1137745 1265945 1365294 1519134 1527829 1772323 2275490 2531890 3055658 3413235 3544646 3797835 4583487 5316969 6826470 7595670 7639145 8861615 9166974 10633938 10694803 15278290 17723230 21389606 22917435 26584845 32084409 45834870 53169690 53474015 64168818 106948030 160422045 175115209 320844090 350230418 525345627 875576045 1050691254 1225806463 1751152090 2451612926 2626728135 3677419389 5253456270 6129032315 7354838778 8230414823 12258064630 16460829646 18387096945 24691244469 36774193890 41152074115 49382488938 57612903761 82304148230 115225807522 123456222345 172838711283 246912444690 288064518805 345677422566 576129037610 864193556415 1728387112830