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412052406018 = 2311371273833469
BaseRepresentation
bin1011111111100000011…
…11001011111100000010
31110101120122022000212220
411333300033023330002
523222340403443033
6513143321031510
741525020442661
oct5776017137402
91411518260786
10412052406018
11149828928430
1267a37625596
132cb195c1436
1415d2cb42dd8
15aab9a6bbb3
hex5ff03cbf02

412052406018 has 128 divisors (see below), whose sum is σ = 933290311680. Its totient is φ = 120183678720.

The previous prime is 412052406013. The next prime is 412052406113. The reversal of 412052406018 is 810604250214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 412052406018.

It is not an unprimeable number, because it can be changed into a prime (412052406013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118779588 + ... + 118783056.

It is an arithmetic number, because the mean of its divisors is an integer number (7291330560).

Almost surely, 2412052406018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412052406018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466645155840).

412052406018 is an abundant number, since it is smaller than the sum of its proper divisors (521237905662).

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

412052406018 is a wasteful number, since it uses less digits than its factorization.

412052406018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032.

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 412052406018 in words is "four hundred twelve billion, fifty-two million, four hundred six thousand, eighteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 127 222 254 381 383 407 762 766 814 1149 1221 1397 2298 2442 2794 3469 4191 4213 4699 6938 8382 8426 9398 10407 12639 14097 14171 20814 25278 28194 28342 38159 42513 48641 51689 76318 85026 97282 103378 114477 128353 145923 155067 155881 228954 256706 291846 310134 311762 385059 440563 467643 535051 770118 881126 935286 1070102 1321689 1328627 1411883 1605153 1799717 2643378 2657254 2823766 3210306 3599434 3985881 4235649 4846193 5399151 7971762 8471298 9692386 10798302 14538579 14614897 16300831 19796887 29077158 29229794 32601662 39593774 43844691 48902493 49159199 59390661 87689382 97804986 98318398 118781322 147477597 168735629 179309141 294955194 337471258 358618282 506206887 537927423 540751189 1012413774 1075854846 1081502378 1622253567 1856091919 3244507134 3712183838 5568275757 6243218273 11136551514 12486436546 18729654819 37459309638 68675401003 137350802006 206026203009 412052406018