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505274630448 = 24372146572
BaseRepresentation
bin1110101101001001011…
…01110000000100110000
31210022012110100200221210
413112210231300010300
531234300301133243
61024041524520120
751335114331600
oct7264455600460
91708173320853
10505274630448
111853163a1415
1281b13550040
1338854b63c93
141a653972c00
15d223c36933
hex75a4b70130

505274630448 has 90 divisors (see below), whose sum is σ = 1518505425876. Its totient is φ = 144354330624.

The previous prime is 505274630431. The next prime is 505274630449. The reversal of 505274630448 is 844036472505.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 505274630397 and 505274630406.

It is not an unprimeable number, because it can be changed into a prime (505274630449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34465936 + ... + 34480592.

Almost surely, 2505274630448 is an apocalyptic number.

It is an amenable number.

505274630448 is an abundant number, since it is smaller than the sum of its proper divisors (1013230795428).

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

505274630448 is an frugal number, since it uses more digits than its factorization.

505274630448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29339 (or 14669 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

Multiplying 505274630448 by its sum of digits (48), we get a square (24253182261504 = 49247522).

505274630448 divided by its sum of digits (48) gives a square (10526554801 = 1025992).

The spelling of 505274630448 in words is "five hundred five billion, two hundred seventy-four million, six hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 14657 29314 43971 58628 87942 102599 117256 175884 205198 234512 307797 351768 410396 615594 703536 718193 820792 1231188 1436386 1641584 2154579 2462376 2872772 4309158 4924752 5745544 8618316 11491088 17236632 34473264 214827649 429655298 644482947 859310596 1288965894 1503793543 1718621192 2577931788 3007587086 3437242384 4511380629 5155863576 6015174172 9022761258 10311727152 10526554801 12030348344 18045522516 21053109602 24060696688 31579664403 36091045032 42106219204 63159328806 72182090064 84212438408 126318657612 168424876816 252637315224 505274630448