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405642226556436 = 223237332720043343
BaseRepresentation
bin101110000111011011111000…
…0110100011101111000010100
31222012021000111012221121202220
41130032313300310131320110
5411132020234444301221
63554421244415302340
7151304453344226502
oct13416676064357024
91865230435847686
10405642226556436
111082829a1902581
12395b4220b1a9b0
1314545b896c0b8c
14722528d433672
1531d6a428ba0c6
hex170edf0d1de14

405642226556436 has 48 divisors (see below), whose sum is σ = 987664156975104. Its totient is φ = 129333432403296.

The previous prime is 405642226556419. The next prime is 405642226556443. The reversal of 405642226556436 is 634655622246504.

It is a self number, because there is not a number n which added to its sum of digits gives 405642226556436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10216581 + ... + 30259923.

It is an arithmetic number, because the mean of its divisors is an integer number (20576336603648).

Almost surely, 2405642226556436 is an apocalyptic number.

405642226556436 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

405642226556436 is an abundant number, since it is smaller than the sum of its proper divisors (582021930418668).

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

405642226556436 is a wasteful number, since it uses less digits than its factorization.

405642226556436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20116700 (or 20116698 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 60.

The spelling of 405642226556436 in words is "four hundred five trillion, six hundred forty-two billion, two hundred twenty-six million, five hundred fifty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 73327 146654 219981 293308 439962 879924 1686521 3373042 5059563 6746084 10119126 20043343 20238252 40086686 60130029 80173372 120260058 240520116 460996889 921993778 1382990667 1843987556 2765981334 5531962668 1469718212161 2939436424322 4409154636483 5878872848644 8818309272966 17636618545932 33803518879703 67607037759406 101410556639109 135214075518812 202821113278218 405642226556436