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482268183516 = 2232723585114221
BaseRepresentation
bin1110000010010010110…
…11000111101111011100
31201002211002200002211200
413001021123013233130
530400141123333031
61005315000515500
746562024631360
oct7011133075734
91632732602750
10482268183516
1117658a8a9309
127957277bb90
1336629658582
14194b02872a0
15c8290a18e6
hex70496c7bdc

482268183516 has 144 divisors (see below), whose sum is σ = 1454144659968. Its totient is φ = 131768208000.

The previous prime is 482268183511. The next prime is 482268183521. The reversal of 482268183516 is 615381862284.

482268183516 is a `hidden beast` number, since 48 + 2 + 2 + 6 + 8 + 1 + 83 + 516 = 666.

It is an interprime number because it is at equal distance from previous prime (482268183511) and next prime (482268183521).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482268183511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33905286 + ... + 33919506.

Almost surely, 2482268183516 is an apocalyptic number.

482268183516 is a gapful number since it is divisible by the number (46) 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 482268183516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727072329984).

482268183516 is an abundant number, since it is smaller than the sum of its proper divisors (971876476452).

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

482268183516 is a wasteful number, since it uses less digits than its factorization.

482268183516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20112 (or 20107 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 482268183516 in words is "four hundred eighty-two billion, two hundred sixty-eight million, one hundred eighty-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 5851 11702 14221 17553 23404 28442 35106 40957 42663 52659 56884 70212 81914 85326 99547 105318 122871 127989 134573 163828 170652 199094 210636 245742 255978 269146 298641 327083 368613 398188 403719 491484 511956 538292 597282 654166 737226 807438 895923 942011 981249 1194564 1211157 1308332 1474452 1614876 1791846 1884022 1962498 2289581 2422314 2826033 2943747 3583692 3768044 3924996 4579162 4844628 5652066 5887494 6868743 8478099 9158324 11304132 11774988 13737486 16956198 20606229 27474972 33912396 41212458 82424916 83207071 166414142 249621213 332828284 499242426 582449497 748863639 998484852 1164898994 1497727278 1747348491 1913762633 2329797988 2995454556 3494696982 3827525266 5242045473 5741287899 6989393964 7655050532 10484090946 11482575798 13396338431 17223863697 20968181892 22965151596 26792676862 34447727394 40189015293 53585353724 68895454788 80378030586 120567045879 160756061172 241134091758 482268183516