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420610245432 = 233137335295233
BaseRepresentation
bin1100001111011100101…
…00110000001100111000
31111012200001101022121020
412013232110300030320
523342402210323212
6521120425142440
742250054045056
oct6075624601470
91435601338536
10420610245432
1115241a577893
126962562aa20
133088158b040
141650153b1d6
15ae1b007d8c
hex61ee530338

420610245432 has 128 divisors (see below), whose sum is σ = 1148469403200. Its totient is φ = 127585124352.

The previous prime is 420610245383. The next prime is 420610245439. The reversal of 420610245432 is 234542016024.

It is a junction number, because it is equal to n+sod(n) for n = 420610245393 and 420610245402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420610245439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80373888 + ... + 80379120.

Almost surely, 2420610245432 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 420610245432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574234701600).

420610245432 is an abundant number, since it is smaller than the sum of its proper divisors (727859157768).

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

420610245432 is a wasteful number, since it uses less digits than its factorization.

420610245432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8857 (or 8853 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 420610245432 in words is "four hundred twenty billion, six hundred ten million, two hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 292 312 438 584 876 949 1752 1898 2847 3529 3796 5233 5694 7058 7592 10466 10587 11388 14116 15699 20932 21174 22776 28232 31398 41864 42348 45877 62796 68029 84696 91754 125592 136058 137631 183508 204087 257617 272116 275262 367016 382009 408174 515234 544232 550524 764018 772851 816348 1030468 1101048 1146027 1528036 1545702 1632696 2060936 2292054 3056072 3091404 3349021 4584108 4966117 6182808 6698042 9168216 9932234 10047063 13396084 14898351 18467257 19864468 20094126 26792168 29796702 36934514 39728936 40188252 55401771 59593404 73869028 80376504 110803542 119186808 147738056 221607084 240074341 443214168 480148682 720223023 960297364 1348109761 1440446046 1920594728 2696219522 2880892092 4044329283 5392439044 5761784184 8088658566 10784878088 16177317132 17525426893 32354634264 35050853786 52576280679 70101707572 105152561358 140203415144 210305122716 420610245432