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486253073040 = 24357619467587
BaseRepresentation
bin1110001001101101111…
…00010001001010010000
31201111002210221110121120
413010312330101022100
530431321241314130
61011214230522240
750062542632160
oct7046674211220
91644083843546
10486253073040
11178245201839
127a2a5206380
1336b130b9277
141976b5c65a0
15c9add3e910
hex7136f11290

486253073040 has 160 divisors (see below), whose sum is σ = 1725511941120. Its totient is φ = 110963768832.

The previous prime is 486253073029. The next prime is 486253073041. The reversal of 486253073040 is 40370352684.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 486253072983 and 486253073001.

It is not an unprimeable number, because it can be changed into a prime (486253073041) 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 31 ways as a sum of consecutive naturals, for example, 806127 + ... + 1273713.

It is an arithmetic number, because the mean of its divisors is an integer number (10784449632).

Almost surely, 2486253073040 is an apocalyptic number.

486253073040 is a gapful number since it is divisible by the number (40) 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 486253073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862755970560).

486253073040 is an abundant number, since it is smaller than the sum of its proper divisors (1239258868080).

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

486253073040 is a wasteful number, since it uses less digits than its factorization.

486253073040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468229 (or 468223 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 486253073040 in words is "four hundred eighty-six billion, two hundred fifty-three million, seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 619 840 1238 1680 1857 2476 3095 3714 4333 4952 6190 7428 8666 9285 9904 12380 12999 14856 17332 18570 21665 24760 25998 29712 34664 37140 43330 49520 51996 64995 69328 74280 86660 103992 129990 148560 173320 207984 259980 346640 467587 519960 935174 1039920 1402761 1870348 2337935 2805522 3273109 3740696 4675870 5611044 6546218 7013805 7481392 9351740 9819327 11222088 13092436 14027610 16365545 18703480 19638654 22444176 26184872 28055220 32731090 37406960 39277308 49096635 52369744 56110440 65462180 78554616 98193270 112220880 130924360 157109232 196386540 261848720 289436353 392773080 578872706 785546160 868309059 1157745412 1447181765 1736618118 2026054471 2315490824 2894363530 3473236236 4052108942 4341545295 4630981648 5788727060 6078163413 6946472472 8104217884 8683090590 10130272355 11577454120 12156326826 13892944944 16208435768 17366181180 20260544710 23154908240 24312653652 30390817065 32416871536 34732362360 40521089420 48625307304 60781634130 69464724720 81042178840 97250614608 121563268260 162084357680 243126536520 486253073040