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419313231936 = 2632269812
BaseRepresentation
bin1100001101000010000…
…01000010100001000000
31111002022122211012120100
412012201001002201000
523332223141410221
6520344013442400
742202654443444
oct6064101024100
91432278735510
10419313231936
1115191442a405
12693231a0400
133070595a531
141641b196824
15ad92207926
hex61a1042840

419313231936 has 63 divisors (see below), whose sum is σ = 1201930217293. Its totient is φ = 139765896960.

The previous prime is 419313231923. The next prime is 419313231947. The reversal of 419313231936 is 639132313914.

The square root of 419313231936 is 647544.

It is a perfect power (a square), and thus also a powerful number.

419313231936 is a `hidden beast` number, since 4 + 19 + 313 + 2 + 319 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45943350336 + 373369881600 = 214344^2 + 611040^2 .

It is a super-2 number, since 2×4193132319362 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 419313231891 and 419313231900.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15527566 + ... + 15554546.

Almost surely, 2419313231936 is an apocalyptic number.

419313231936 is the 647544-th square number.

It is an amenable number.

419313231936 is an abundant number, since it is smaller than the sum of its proper divisors (782616985357).

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

419313231936 is an frugal number, since it uses more digits than its factorization.

419313231936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53980 (or 26986 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

It can be divided in two parts, 419313 and 231936, that added together give a square (651249 = 8072).

The spelling of 419313231936 in words is "four hundred nineteen billion, three hundred thirteen million, two hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 26981 53962 80943 107924 161886 215848 242829 323772 431696 485658 647544 863392 971316 1295088 1726784 1942632 2590176 3885264 5180352 7770528 15541056 727974361 1455948722 2183923083 2911897444 4367846166 5823794888 6551769249 8735692332 11647589776 13103538498 17471384664 23295179552 26207076996 34942769328 46590359104 52414153992 69885538656 104828307984 139771077312 209656615968 419313231936