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642063216 = 243235631033
BaseRepresentation
bin100110010001010…
…001101101110000
31122202011012011010
4212101101231300
52303332010331
6143413350520
721624306264
oct4621215560
91582135133
10642063216
112aa478663
1215b038440
13a3035582
14613b60a4
153b57ae46
hex26451b70

642063216 has 80 divisors (see below), whose sum is σ = 1735531776. Its totient is φ = 204154368.

The previous prime is 642063209. The next prime is 642063221. The reversal of 642063216 is 612360246.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 621036 + ... + 622068.

Almost surely, 2642063216 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 642063216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867765888).

642063216 is an abundant number, since it is smaller than the sum of its proper divisors (1093468560).

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

642063216 is a wasteful number, since it uses less digits than its factorization.

642063216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 642063216 is about 25338.9663561875. The cubic root of 642063216 is about 862.6989376859.

The spelling of 642063216 in words is "six hundred forty-two million, sixty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 563 1033 1104 1126 1689 2066 2252 3099 3378 4132 4504 6198 6756 8264 9008 12396 12949 13512 16528 23759 24792 25898 27024 38847 47518 49584 51796 71277 77694 95036 103592 142554 155388 190072 207184 285108 310776 380144 570216 581579 621552 1140432 1163158 1744737 2326316 3489474 4652632 6978948 9305264 13376317 13957896 26752634 27915792 40128951 53505268 80257902 107010536 160515804 214021072 321031608 642063216