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483363192048 = 2431117187328751
BaseRepresentation
bin1110000100010101011…
…00001111110011110000
31201012122102010022011020
413002022230033303300
530404411434121143
61010015354415440
746631122225152
oct7021254176360
91635572108136
10483363192048
11176aa1a14440
1279819431580
133677247c309
1419575886ad2
15c89029d883
hex708ab0fcf0

483363192048 has 160 divisors (see below), whose sum is σ = 1443155346432. Its totient is φ = 137779200000.

The previous prime is 483363192007. The next prime is 483363192049. The reversal of 483363192048 is 840291363384.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483363192049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16797673 + ... + 16826423.

Almost surely, 2483363192048 is an apocalyptic number.

483363192048 is a gapful number since it is divisible by the number (48) 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 483363192048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721577673216).

483363192048 is an abundant number, since it is smaller than the sum of its proper divisors (959792154384).

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

483363192048 is a wasteful number, since it uses less digits than its factorization.

483363192048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30663 (or 30657 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 483363192048 in words is "four hundred eighty-three billion, three hundred sixty-three million, one hundred ninety-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 1873 2244 2992 3746 4488 5619 7492 8976 11238 14984 20603 22476 28751 29968 31841 41206 44952 57502 61809 63682 82412 86253 89904 95523 115004 123618 127364 164824 172506 191046 230008 247236 254728 316261 329648 345012 350251 382092 460016 488767 494472 509456 632522 690024 700502 764184 948783 977534 988944 1050753 1265044 1380048 1401004 1466301 1528368 1897566 1955068 2101506 2530088 2802008 2932602 3795132 3910136 4203012 5060176 5376437 5604016 5865204 7590264 7820272 8406024 10752874 11730408 15180528 16129311 16812048 21505748 23460816 32258622 43011496 53850623 64517244 86022992 107701246 129034488 161551869 215402492 258068976 323103738 430804984 592356853 646207476 861609968 915460591 1184713706 1292414952 1777070559 1830921182 2369427412 2584829904 2746381773 3554141118 3661842364 4738854824 5492763546 7108282236 7323684728 9477709648 10070066501 10985527092 14216564472 14647369456 20140133002 21971054184 28433128944 30210199503 40280266004 43942108368 60420399006 80560532008 120840798012 161121064016 241681596024 483363192048