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4282320312536 = 237977691102503
BaseRepresentation
bin111110010100001110001…
…011100101100011011000
3120011101102021011112211212
4332110032023211203120
51030130143000000121
613035134254042252
7621246614033240
oct76241613454330
916141367145755
104282320312536
1114011381a4012
12591b384a9388
13250a89b872c6
1410b3a03d4b20
15765d648325b
hex3e50e2e58d8

4282320312536 has 64 divisors (see below), whose sum is σ = 9272298631680. Its totient is φ = 1816105835520.

The previous prime is 4282320312527. The next prime is 4282320312541. The reversal of 4282320312536 is 6352130232824.

4282320312536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42823203125363 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4282320312493 and 4282320312502.

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, 41726261 + ... + 41828763.

It is an arithmetic number, because the mean of its divisors is an integer number (144879666120).

Almost surely, 24282320312536 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 4282320312536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636149315840).

4282320312536 is an abundant number, since it is smaller than the sum of its proper divisors (4989978319144).

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

4282320312536 is a wasteful number, since it uses less digits than its factorization.

4282320312536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110304 (or 110300 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 4282320312536 in words is "four trillion, two hundred eighty-two billion, three hundred twenty million, three hundred twelve thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 97 194 388 679 776 1358 2716 5432 7691 15382 30764 53837 61528 102503 107674 205006 215348 410012 430696 717521 746027 820024 1435042 1492054 2870084 2984108 5222189 5740168 5968216 9942791 10444378 19885582 20888756 39771164 41777512 69599537 79542328 139199074 278398148 556796296 788350573 1576701146 3153402292 5518454011 6306804584 11036908022 22073816044 44147632088 76470005581 152940011162 305880022324 535290039067 611760044648 1070580078134 2141160156268 4282320312536