Search a number
-
+
1781378240048 = 241161373444841
BaseRepresentation
bin11001111011000010011…
…010101100111000110000
320022022001022102202010122
4121323002122230320300
5213141230312140143
63442204233545412
7242462133130511
oct31730232547060
96268038382118
101781378240048
11627529637830
122492abb75268
13cbca226a834
146230d572a08
153150ecd4c68
hex19ec26ace30

1781378240048 has 80 divisors (see below), whose sum is σ = 3837178622112. Its totient is φ = 794306304000.

The previous prime is 1781378239973. The next prime is 1781378240051. The reversal of 1781378240048 is 8400428731871.

It is a super-2 number, since 2×17813782400482 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3782108 + ... + 4226948.

Almost surely, 21781378240048 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 1781378240048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918589311056).

1781378240048 is an abundant number, since it is smaller than the sum of its proper divisors (2055800382064).

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

1781378240048 is a wasteful number, since it uses less digits than its factorization.

1781378240048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445294 (or 445288 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 53.

The spelling of 1781378240048 in words is "one trillion, seven hundred eighty-one billion, three hundred seventy-eight million, two hundred forty thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 373 488 671 746 976 1342 1492 2684 2984 4103 5368 5968 8206 10736 16412 22753 32824 45506 65648 91012 182024 250283 364048 444841 500566 889682 1001132 1779364 2002264 3558728 4004528 4893251 7117456 9786502 19573004 27135301 39146008 54270602 78292016 108541204 165925693 217082408 298488311 331851386 434164816 596976622 663702772 1193953244 1327405544 1825182623 2387906488 2654811088 3650365246 4775812976 7300730492 10121467273 14601460984 20242934546 29202921968 40485869092 80971738184 111336140003 161943476368 222672280006 445344560012 890689120024 1781378240048