Search a number
-
+
553506357248 = 214132989611
BaseRepresentation
bin10000000110111111000…
…11001100000000000000
31221220200210212021202122
420003133203030000000
533032040111412443
61102135522103412
754663255260105
oct10033743140000
91856623767678
10553506357248
111a38169aa659
128b3341aab68
13402704718b0
141cb0b4c8aac
15e5e823d968
hex80df8cc000

553506357248 has 120 divisors (see below), whose sum is σ = 1233252889680. Its totient is φ = 246652600320.

The previous prime is 553506357247. The next prime is 553506357251. The reversal of 553506357248 is 842753605355.

It is a self number, because there is not a number n which added to its sum of digits gives 553506357248.

It is not an unprimeable number, because it can be changed into a prime (553506357247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6131963 + ... + 6221573.

It is an arithmetic number, because the mean of its divisors is an integer number (10277107414).

Almost surely, 2553506357248 is an apocalyptic number.

553506357248 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553506357248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616626444840).

553506357248 is an abundant number, since it is smaller than the sum of its proper divisors (679746532432).

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

553506357248 is an equidigital number, since it uses as much as digits as its factorization.

553506357248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89681 (or 89655 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 53.

The spelling of 553506357248 in words is "five hundred fifty-three billion, five hundred six million, three hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 256 377 416 464 512 754 832 928 1024 1508 1664 1856 2048 3016 3328 3712 4096 6032 6656 7424 8192 12064 13312 14848 16384 24128 26624 29696 48256 53248 59392 89611 96512 106496 118784 179222 193024 212992 237568 358444 386048 475136 716888 772096 1164943 1433776 1544192 2329886 2598719 2867552 3088384 4659772 5197438 5735104 6176768 9319544 10394876 11470208 18639088 20789752 22940416 33783347 37278176 41579504 45880832 67566694 74556352 83159008 91761664 135133388 149112704 166318016 183523328 270266776 298225408 332636032 367046656 540533552 596450816 665272064 734093312 1081067104 1192901632 1330544128 1468186624 2162134208 2385803264 2661088256 4324268416 4771606528 5322176512 8648536832 9543213056 10644353024 17297073664 19086426112 21288706048 34594147328 42577412096 69188294656 138376589312 276753178624 553506357248