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4901144976 = 2433713124673
BaseRepresentation
bin1001001000010000…
…11000100110010000
3110122120100221222000
410210020120212100
540014143114401
62130200314000
7232312021260
oct44410304620
913576327860
104901144976
112095628842
12b49472900
136015292b0
14346ccb7a0
151da42b186
hex124218990

4901144976 has 160 divisors (see below), whose sum is σ = 17314725120. Its totient is φ = 1292599296.

The previous prime is 4901144953. The next prime is 4901144977. The reversal of 4901144976 is 6794411094.

4901144976 is a `hidden beast` number, since 49 + 0 + 114 + 497 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (4901144977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23025 + ... + 101648.

It is an arithmetic number, because the mean of its divisors is an integer number (108217032).

Almost surely, 24901144976 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 4901144976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8657362560).

4901144976 is an abundant number, since it is smaller than the sum of its proper divisors (12413580144).

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

4901144976 is a wasteful number, since it uses less digits than its factorization.

4901144976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124710 (or 124698 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4901144976 is about 70008.1779222970. The cubic root of 4901144976 is about 1698.6315372367.

The spelling of 4901144976 in words is "four billion, nine hundred one million, one hundred forty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 19656 39312 124673 249346 374019 498692 748038 872711 997384 1122057 1496076 1620749 1745422 1994768 2244114 2618133 2992152 3241498 3366171 3490844 4488228 4862247 5236266 5984304 6482996 6732342 6981688 7854399 8976456 9724494 10472532 11345243 12965992 13464684 13963376 14586741 15708798 17952912 19448988 20945064 22690486 23563197 25931984 26929368 29173482 31417596 34035729 38897976 41890128 43760223 45380972 47126394 53858736 58346964 62835192 68071458 77795952 87520446 90761944 94252788 102107187 116693928 125670384 136142916 175040892 181523888 188505576 204214374 233387856 272285832 306321561 350081784 377011152 408428748 544571664 612643122 700163568 816857496 1225286244 1633714992 2450572488 4901144976