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420354401796 = 22347199754813
BaseRepresentation
bin1100001110111110001…
…00110010011000000100
31111012000012222010010000
412013133010302120010
523341341211324141
6521035205401300
742240526314210
oct6073704623004
91435005863100
10420354401796
111522a911276a
1269573a09230
1330840580884
14164b957d940
15ae0381c5b6
hex61df132604

420354401796 has 120 divisors (see below), whose sum is σ = 1321972393280. Its totient is φ = 113780127168.

The previous prime is 420354401767. The next prime is 420354401801. The reversal of 420354401796 is 697104453024.

420354401796 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 544 + 0 + 17 + 96 = 666.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4834315 + ... + 4920498.

Almost surely, 2420354401796 is an apocalyptic number.

It is an amenable number.

420354401796 is an abundant number, since it is smaller than the sum of its proper divisors (901617991484).

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

420354401796 is a wasteful number, since it uses less digits than its factorization.

420354401796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9754855 (or 9754844 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 420354401796 in words is "four hundred twenty billion, three hundred fifty-four million, four hundred one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 252 266 324 342 378 399 513 532 567 684 756 798 1026 1134 1197 1539 1596 2052 2268 2394 3078 3591 4788 6156 7182 10773 14364 21546 43092 9754813 19509626 29264439 39019252 58528878 68283691 87793317 117057756 136567382 175586634 185341447 204851073 263379951 273134764 351173268 370682894 409702146 526759902 556024341 614553219 741365788 790139853 819404292 1053519804 1112048682 1229106438 1297390129 1580279706 1668073023 1843659657 2224097364 2458212876 2594780258 3160559412 3336146046 3687319314 3892170387 5004219069 5189560516 5530978971 6672292092 7374638628 7784340774 10008438138 11061957942 11676511161 15012657207 15568681548 20016876276 22123915884 23353022322 30025314414 35029533483 46706044644 60050628828 70059066966 105088600449 140118133932 210177200898 420354401796