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4972284864 = 263210780677
BaseRepresentation
bin1001010000101111…
…10000101111000000
3110211112020020112200
410220113300233000
540140401103424
62141221153200
7234134503221
oct45027605700
913745206480
104972284864
1121217a8238
12b6925b800
136131a68c1
14352529248
151e17ce8c9
hex1285f0bc0

4972284864 has 84 divisors (see below), whose sum is σ = 14385532824. Its totient is φ = 1641917952.

The previous prime is 4972284853. The next prime is 4972284883. The reversal of 4972284864 is 4684822794.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4972284864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21294 + ... + 101970.

Almost surely, 24972284864 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 4972284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7192766412).

4972284864 is an abundant number, since it is smaller than the sum of its proper divisors (9413247960).

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

4972284864 is a wasteful number, since it uses less digits than its factorization.

4972284864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80802 (or 80789 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 4972284864 is about 70514.4301827647. The cubic root of 4972284864 is about 1706.8106098753.

The spelling of 4972284864 in words is "four billion, nine hundred seventy-two million, two hundred eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 144 192 214 288 321 428 576 642 856 963 1284 1712 1926 2568 3424 3852 5136 6848 7704 10272 15408 20544 30816 61632 80677 161354 242031 322708 484062 645416 726093 968124 1290832 1452186 1936248 2581664 2904372 3872496 5163328 5808744 7744992 8632439 11617488 15489984 17264878 23234976 25897317 34529756 46469952 51794634 69059512 77691951 103589268 138119024 155383902 207178536 276238048 310767804 414357072 552476096 621535608 828714144 1243071216 1657428288 2486142432 4972284864