Search a number
-
+
1050571014640 = 24572011932879
BaseRepresentation
bin11110100100110101110…
…10011000000111110000
310201102201002201010221021
433102122322120013300
5114203032134432030
62122343050505224
7135621062166340
oct17223272300760
93642632633837
101050571014640
113755a9a49774
1214b736135214
13780b7425c44
1438bc2936d20
151c4db30097a
hexf49ae981f0

1050571014640 has 80 divisors (see below), whose sum is σ = 2792908385280. Its totient is φ = 360016277760.

The previous prime is 1050571014637. The next prime is 1050571014653. The reversal of 1050571014640 is 464101750501.

1050571014640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10505710146402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1050571014596 and 1050571014605.

It is a congruent number.

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, 659721 + ... + 1592599.

It is an arithmetic number, because the mean of its divisors is an integer number (34911354816).

Almost surely, 21050571014640 is an apocalyptic number.

1050571014640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1050571014640 is an abundant number, since it is smaller than the sum of its proper divisors (1742337370640).

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

1050571014640 is a wasteful number, since it uses less digits than its factorization.

1050571014640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934910 (or 934904 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 1050571014640 in words is "one trillion, fifty billion, five hundred seventy-one million, fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2011 4022 8044 10055 14077 16088 20110 28154 32176 40220 56308 70385 80440 112616 140770 160880 225232 281540 563080 932879 1126160 1865758 3731516 4664395 6530153 7463032 9328790 13060306 14926064 18657580 26120612 32650765 37315160 52241224 65301530 74630320 104482448 130603060 261206120 522412240 1876019669 3752039338 7504078676 9380098345 13132137683 15008157352 18760196690 26264275366 30016314704 37520393380 52528550732 65660688415 75040786760 105057101464 131321376830 150081573520 210114202928 262642753660 525285507320 1050571014640