Search a number
-
+
1780039643228 = 2271119421722509
BaseRepresentation
bin11001111001110010101…
…000010111000001011100
320022011121000121222111122
4121321302220113001130
5213131010122040403
63441423335110112
7242414020215050
oct31716250270134
96264530558448
101780039643228
11626a01a78170
12248b97812338
13cbb1ab3a902
1462223885c60
153148251d838
hex19e72a1705c

1780039643228 has 96 divisors (see below), whose sum is σ = 4097845516800. Its totient is φ = 655459257600.

The previous prime is 1780039643191. The next prime is 1780039643273. The reversal of 1780039643228 is 8223469300871.

It is a super-2 number, since 2×17800396432282 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1780039643228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2102438 + ... + 2824946.

It is an arithmetic number, because the mean of its divisors is an integer number (42685890800).

Almost surely, 21780039643228 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 1780039643228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048922758400).

1780039643228 is an abundant number, since it is smaller than the sum of its proper divisors (2317805873572).

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

1780039643228 is a wasteful number, since it uses less digits than its factorization.

1780039643228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722971 (or 722969 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 1780039643228 in words is "one trillion, seven hundred eighty billion, thirty-nine million, six hundred forty-three thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 421 532 836 842 1463 1684 2926 2947 4631 5852 5894 7999 9262 11788 15998 18524 31996 32417 55993 64834 87989 111986 129668 175978 223972 351956 615923 722509 1231846 1445018 2463692 2890036 5057563 7947599 10115126 13727671 15895198 20230252 27455342 31790396 54910684 55633193 96093697 111266386 151004381 192187394 222532772 302008762 304176289 384374788 604017524 608352578 1057030667 1216705156 2114061334 2129234023 3345939179 4228122668 4258468046 5779349491 6691878358 8516936092 11558698982 13383756716 23117397964 23421574253 40455446437 46843148506 63572844401 80910892874 93686297012 127145688802 161821785748 254291377604 445009910807 890019821614 1780039643228