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1900264544430 = 235721894768227
BaseRepresentation
bin11011101001110000100…
…101111101100010101110
320201122220200222202110020
4123221300211331202232
5222113220210410210
64012545224023010
7254201220056100
oct33516045754256
96648820882406
101900264544430
1167299688294a
1226834a901a66
1310a26a7ba4c5
1467d8aa13570
153466c0eb770
hex1ba7097d8ae

1900264544430 has 96 divisors (see below), whose sum is σ = 5305586126976. Its totient is φ = 434316891456.

The previous prime is 1900264544411. The next prime is 1900264544441. The reversal of 1900264544430 is 344454620091.

It is a super-2 number, since 2×19002645444302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27817977 + ... + 27886203.

It is an arithmetic number, because the mean of its divisors is an integer number (55266522156).

Almost surely, 21900264544430 is an apocalyptic number.

1900264544430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1900264544430 is an abundant number, since it is smaller than the sum of its proper divisors (3405321582546).

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

1900264544430 is a wasteful number, since it uses less digits than its factorization.

1900264544430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87198 (or 87191 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 1900264544430 in words is "one trillion, nine hundred billion, two hundred sixty-four million, five hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 18947 37894 56841 68227 94735 113682 132629 136454 189470 204681 265258 284205 341135 397887 409362 477589 568410 663145 682270 795774 928403 955178 1023405 1326290 1432767 1856806 1989435 2046810 2387945 2785209 2865534 3343123 3978870 4642015 4775890 5570418 6686246 7163835 9284030 10029369 13926045 14327670 16715615 20058738 27852090 33431230 50146845 100293690 1292696969 2585393938 3878090907 6463484845 7756181814 9048878783 12926969690 18097757566 19390454535 27146636349 38780909070 45244393915 54293272698 63342151481 90488787830 126684302962 135733181745 190026454443 271466363490 316710757405 380052908886 633421514810 950132272215 1900264544430