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2572742748384 = 253242312111353
BaseRepresentation
bin100101011100000011011…
…010101110100011100000
3100002221200212101001112200
4211130003122232203200
5314122434120422014
65245522433453200
7353605651353144
oct45340332564340
910087625331480
102572742748384
11902104234856
12356746411200
131587bb12ca13
148c742a89224
1546dc9deca09
hex257036ae8e0

2572742748384 has 72 divisors (see below), whose sum is σ = 7317969854832. Its totient is φ = 857377820160.

The previous prime is 2572742748343. The next prime is 2572742748403. The reversal of 2572742748384 is 4838472472752.

2572742748384 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 74 + 2 + 7 + 483 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×25727427483842 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162852 + ... + 2274204.

It is an arithmetic number, because the mean of its divisors is an integer number (101638470206).

Almost surely, 22572742748384 is an apocalyptic number.

2572742748384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2572742748384 is an abundant number, since it is smaller than the sum of its proper divisors (4745227106448).

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

2572742748384 is a wasteful number, since it uses less digits than its factorization.

2572742748384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115600 (or 2115589 counting only the distinct ones).

The product of its digits is 168591360, while the sum is 63.

The spelling of 2572742748384 in words is "two trillion, five hundred seventy-two billion, seven hundred forty-two million, seven hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4231 8462 12693 16924 25386 33848 38079 50772 67696 76158 101544 135392 152316 203088 304632 406176 609264 1218528 2111353 4222706 6334059 8445412 12668118 16890824 19002177 25336236 33781648 38004354 50672472 67563296 76008708 101344944 152017416 202689888 304034832 608069664 8933134543 17866269086 26799403629 35732538172 53598807258 71465076344 80398210887 107197614516 142930152688 160796421774 214395229032 285860305376 321592843548 428790458064 643185687096 857580916128 1286371374192 2572742748384