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4995369288 = 23327213108917
BaseRepresentation
bin1001010011011111…
…10100100101001000
3110220010200001102100
410221233310211020
540212303304123
62143404033400
7234534636600
oct45157644510
913803601370
104995369288
112133834978
12b74b32860
13617bc9c20
14355617c00
151e383e643
hex129bf4948

4995369288 has 144 divisors (see below), whose sum is σ = 16948729980. Its totient is φ = 1317447936.

The previous prime is 4995369283. The next prime is 4995369299. The reversal of 4995369288 is 8829635994.

4995369288 is a `hidden beast` number, since 4 + 9 + 9 + 536 + 92 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4925513124 + 69856164 = 70182^2 + 8358^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4995369283) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8595 + ... + 100322.

Almost surely, 24995369288 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 4995369288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8474364990).

4995369288 is an abundant number, since it is smaller than the sum of its proper divisors (11953360692).

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

4995369288 is a wasteful number, since it uses less digits than its factorization.

4995369288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108956 (or 108942 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The square root of 4995369288 is about 70677.9264551529. The cubic root of 4995369288 is about 1709.4478898821.

The spelling of 4995369288 in words is "four billion, nine hundred ninety-five million, three hundred sixty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 108917 217834 326751 435668 653502 762419 871336 980253 1307004 1415921 1524838 1960506 2287257 2614008 2831842 3049676 3921012 4247763 4574514 5336933 5663684 6099352 6861771 7842024 8495526 9149028 9911447 10673866 11327368 12743289 13723542 16010799 16991052 18298056 19822894 21347732 25486578 27447084 29734341 32021598 33982104 39645788 42695464 48032397 50973156 54894168 59468682 64043196 69380129 79291576 89203023 96064794 101946312 118937364 128086392 138760258 178406046 192129588 208140387 237874728 277520516 356812092 384259176 416280774 555041032 624421161 713624184 832561548 1248842322 1665123096 2497684644 4995369288