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2563830383652 = 223382928635911
BaseRepresentation
bin100101010011110000001…
…100110000010000100100
3100002002200202012000112000
4211103300030300100210
5314001211034234102
65241450222525300
7353142051455406
oct45236014602044
910062622160460
102563830383652
118a935045a26a
12354a79736830
131579ca884215
148c139166b76
1546a5778201c
hex254f0330424

2563830383652 has 48 divisors (see below), whose sum is σ = 6654985948800. Its totient is φ = 853579205280.

The previous prime is 2563830383599. The next prime is 2563830383663.

2563830383652 is a `hidden beast` number, since 256 + 3 + 8 + 3 + 0 + 383 + 6 + 5 + 2 = 666.

2563830383652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25638303836522 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between even and odd.

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, 14228424 + ... + 14407487.

It is an arithmetic number, because the mean of its divisors is an integer number (138645540600).

Almost surely, 22563830383652 is an apocalyptic number.

It is an amenable number.

2563830383652 is an abundant number, since it is smaller than the sum of its proper divisors (4091155565148).

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

2563830383652 is a wasteful number, since it uses less digits than its factorization.

2563830383652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28636753 (or 28636745 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

It can be divided in two parts, 256383038 and 3652, that added together give a triangular number (256386690 = T22644).

The spelling of 2563830383652 in words is "two trillion, five hundred sixty-three billion, eight hundred thirty million, three hundred eighty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 829 1658 2487 3316 4974 7461 9948 14922 22383 29844 44766 89532 28635911 57271822 85907733 114543644 171815466 257723199 343630932 515446398 773169597 1030892796 1546339194 3092678388 23739170219 47478340438 71217510657 94956680876 142435021314 213652531971 284870042628 427305063942 640957595913 854610127884 1281915191826 2563830383652