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153886736656 = 2410129712
BaseRepresentation
bin1000111101010001011…
…1010100000100010000
3112201012122001012020001
42033110113110010100
510010130001033111
6154410010455344
714055312452002
oct2172427240420
9481178035201
10153886736656
115a299061a04
12259a8434554
1311685895333
14763ba60372
154009e301c1
hex23d45d4110

153886736656 has 45 divisors (see below), whose sum is σ = 301447265509. Its totient is φ = 76103096000.

The previous prime is 153886736639. The next prime is 153886736683. The reversal of 153886736656 is 656637688351.

The square root of 153886736656 is 392284.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 147852554256 + 6034182400 = 384516^2 + 77680^2 .

It is a super-2 number, since 2×1538867366562 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 158482251 + ... + 158483221.

Almost surely, 2153886736656 is an apocalyptic number.

153886736656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

153886736656 is the 392284-th square number.

It is an amenable number.

153886736656 is a deficient number, since it is larger than the sum of its proper divisors (147560528853).

153886736656 is an frugal number, since it uses more digits than its factorization.

153886736656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 1074 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 64.

Multiplying 153886736656 by its sum of digits (64), we get a square (9848751145984 = 31382722).

The spelling of 153886736656 in words is "one hundred fifty-three billion, eight hundred eighty-six million, seven hundred thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 101 202 404 808 971 1616 1942 3884 7768 10201 15536 20402 40804 81608 98071 163216 196142 392284 784568 942841 1569136 1885682 3771364 7542728 9905171 15085456 19810342 39620684 79241368 95226941 158482736 190453882 380907764 761815528 1523631056 9617921041 19235842082 38471684164 76943368328 153886736656