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4980213504 = 28337102931
BaseRepresentation
bin1001010001101100…
…00000011100000000
3110212002011001121000
410220312000130000
540144413313004
62142103132000
7234262054620
oct45066003400
913762131530
104980213504
112126223132
12b6ba44000
13614a216c6
143535d0880
151e2348c39
hex128d80700

4980213504 has 144 divisors (see below), whose sum is σ = 16831440640. Its totient is φ = 1422904320.

The previous prime is 4980213503. The next prime is 4980213521. The reversal of 4980213504 is 4053120894.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4980213503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3082 + ... + 99849.

Almost surely, 24980213504 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 4980213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8415720320).

4980213504 is an abundant number, since it is smaller than the sum of its proper divisors (11851227136).

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

4980213504 is a wasteful number, since it uses less digits than its factorization.

4980213504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102963 (or 102943 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4980213504 is about 70570.6277710493. The cubic root of 4980213504 is about 1707.7173359033.

The spelling of 4980213504 in words is "four billion, nine hundred eighty million, two hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 102931 205862 308793 411724 617586 720517 823448 926379 1235172 1441034 1646896 1852758 2161551 2470344 2779137 2882068 3293792 3705516 4323102 4940688 5558274 5764136 6484653 6587584 7411032 8646204 9881376 11116548 11528272 12969306 13175168 14822064 17292408 19453959 19762752 22233096 23056544 25938612 26350336 29644128 34584816 38907918 39525504 44466192 46113088 51877224 59288256 69169632 77815836 79051008 88932384 92226176 103754448 118576512 138339264 155631672 177864768 184452352 207508896 237153024 276678528 311263344 355729536 415017792 553357056 622526688 711459072 830035584 1245053376 1660071168 2490106752 4980213504