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420996515268 = 2237231657131507
BaseRepresentation
bin1100010000001010101…
…10010000010111000100
31111020122222012212012110
412020011112100113010
523344200101442033
6521223024221020
742262454223150
oct6100526202704
91436588185173
10420996515268
111525a861505a
1269712a6a770
1330913602c84
141653a96a060
15ae3eda8363
hex62055905c4

420996515268 has 96 divisors (see below), whose sum is σ = 1172184459264. Its totient is φ = 114984638208.

The previous prime is 420996515243. The next prime is 420996515297. The reversal of 420996515268 is 862515699024.

It is a super-2 number, since 2×4209965152682 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3135571 + ... + 3267077.

It is an arithmetic number, because the mean of its divisors is an integer number (12210254784).

Almost surely, 2420996515268 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 420996515268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586092229632).

420996515268 is an abundant number, since it is smaller than the sum of its proper divisors (751187943996).

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

420996515268 is a wasteful number, since it uses less digits than its factorization.

420996515268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133201 (or 133199 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 420996515268 in words is "four hundred twenty billion, nine hundred ninety-six million, five hundred fifteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1657 1932 3314 4971 6628 9942 11599 19884 23198 34797 38111 46396 69594 76222 114333 131507 139188 152444 228666 263014 266777 394521 457332 526028 533554 789042 800331 920549 1067108 1578084 1600662 1841098 2761647 3024661 3201324 3682196 5523294 6049322 9073983 11046588 12098644 18147966 21172627 36295932 42345254 63517881 84690508 127035762 217907099 254071524 435814198 653721297 871628396 1307442594 1525349693 2614885188 3050699386 4576049079 5011863277 6101398772 9152098158 10023726554 15035589831 18304196316 20047453108 30071179662 35083042939 60142359324 70166085878 105249128817 140332171756 210498257634 420996515268