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412639493552 = 241113219371881
BaseRepresentation
bin1100000000100110011…
…10101111110110110000
31110110002120000011120122
412000103032233312300
523230041202243202
6513321452225412
741545406552306
oct6002316576660
91413076004518
10412639493552
11149aaa266a40
1267b8016b268
132cbb1118900
1415d86ac8276
15ab013889a2
hex60133afdb0

412639493552 has 120 divisors (see below), whose sum is σ = 949327172208. Its totient is φ = 172235980800.

The previous prime is 412639493551. The next prime is 412639493561. The reversal of 412639493552 is 255394936214.

It is a junction number, because it is equal to n+sod(n) for n = 412639493494 and 412639493503.

It is not an unprimeable number, because it can be changed into a prime (412639493551) 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 23 ways as a sum of consecutive naturals, for example, 5704652 + ... + 5776532.

Almost surely, 2412639493552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412639493552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474663586104).

412639493552 is an abundant number, since it is smaller than the sum of its proper divisors (536687678656).

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

412639493552 is a wasteful number, since it uses less digits than its factorization.

412639493552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72119 (or 72100 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 53.

The spelling of 412639493552 in words is "four hundred twelve billion, six hundred thirty-nine million, four hundred ninety-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 169 176 193 208 286 338 386 572 676 772 1144 1352 1544 1859 2123 2288 2509 2704 3088 3718 4246 5018 7436 8492 10036 14872 16984 20072 27599 29744 32617 33968 40144 55198 65234 71881 110396 130468 143762 220792 260936 287524 358787 441584 521872 575048 717574 790691 934453 1150096 1435148 1581382 1868906 2870296 3162764 3737812 5740592 6325528 7475624 10278983 12147889 12651056 13873033 14951248 20557966 24295778 27746066 41115932 48591556 55492132 82231864 97183112 110984264 133626779 152603363 164463728 180349429 194366224 221968528 267253558 305206726 360698858 534507116 610413452 721397716 1069014232 1220826904 1442795432 1983843719 2138028464 2344542577 2441653808 2885590864 3967687438 4689085154 7935374876 9378170308 15870749752 18756340616 25789968347 31741499504 37512681232 51579936694 103159873388 206319746776 412639493552