Search a number
-
+
1052463547032 = 233136744817159
BaseRepresentation
bin11110101000010111011…
…01110100001010011000
310201121120222211202022120
433110023231310022120
5114220421132001112
62123254534221240
7136016012354442
oct17241355641230
93647528752276
101052463547032
11376390264327
1214bb83ab4820
13783295437b1
1438d22019492
151c59c535e8c
hexf50bb74298

1052463547032 has 64 divisors (see below), whose sum is σ = 2634039129600. Its totient is φ = 350437355520.

The previous prime is 1052463547027. The next prime is 1052463547103. The reversal of 1052463547032 is 2307453642501.

1052463547032 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10524635470322 (a number of 25 digits) contains 22 as substring.

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, 147009069 + ... + 147016227.

It is an arithmetic number, because the mean of its divisors is an integer number (41156861400).

Almost surely, 21052463547032 is an apocalyptic number.

1052463547032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1052463547032 is an abundant number, since it is smaller than the sum of its proper divisors (1581575582568).

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

1052463547032 is a wasteful number, since it uses less digits than its factorization.

1052463547032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13016 (or 13012 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 1052463547032 in words is "one trillion, fifty-two billion, four hundred sixty-three million, five hundred forty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 1367 2734 4101 4481 5468 7159 8202 8962 10936 13443 14318 16404 17924 21477 26886 28636 32808 35848 42954 53772 57272 85908 107544 171816 6125527 9786353 12251054 18376581 19572706 24502108 29359059 32079479 36753162 39145412 49004216 58718118 64158958 73506324 78290824 96238437 117436236 128317916 147012648 192476874 234872472 256635832 384953748 769907496 43852647793 87705295586 131557943379 175410591172 263115886758 350821182344 526231773516 1052463547032