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4930400673 = 32114173171
BaseRepresentation
bin1001001011101111…
…11111000110100001
3110201121102022020100
410211313333012201
540044140310143
62133123333013
7233115466662
oct44567770641
913647368210
104930400673
1121000a0000
12b57221169
13607600563
1434ab45369
151dcca96d3
hex125dff1a1

4930400673 has 120 divisors (see below), whose sum is σ = 8682785280. Its totient is φ = 2683296000.

The previous prime is 4930400633. The next prime is 4930400689. The reversal of 4930400673 is 3760040394.

It is not a de Polignac number, because 4930400673 - 26 = 4930400609 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4930400633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 69442228 + ... + 69442298.

It is an arithmetic number, because the mean of its divisors is an integer number (72356544).

Almost surely, 24930400673 is an apocalyptic number.

It is an amenable number.

4930400673 is a deficient number, since it is larger than the sum of its proper divisors (3752384607).

4930400673 is a wasteful number, since it uses less digits than its factorization.

4930400673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4930400673 is about 70216.8118971518. The cubic root of 4930400673 is about 1702.0046332545.

The spelling of 4930400673 in words is "four billion, nine hundred thirty million, four hundred thousand, six hundred seventy-three".

Divisors: 1 3 9 11 17 31 33 51 71 93 99 121 153 187 213 279 341 363 527 561 639 781 1023 1089 1207 1331 1581 1683 2057 2201 2343 3069 3621 3751 3993 4743 5797 6171 6603 7029 8591 10863 11253 11979 13277 14641 17391 18513 19809 22627 24211 25773 33759 37417 39831 41261 43923 52173 63767 67881 72633 77319 94501 112251 119493 123783 131769 146047 191301 203643 217899 248897 266321 283503 336753 371349 411587 438141 453871 573903 701437 746691 798963 850509 1039511 1234761 1314423 1361613 1606517 2104311 2240073 2396889 2929531 3118533 3704283 4084839 4527457 4819551 6312933 7715807 8788593 9355599 13582371 14458653 17671687 23147421 26365779 32224841 40747113 49802027 53015061 69442263 96674523 149406081 159045183 290023569 448218243 547822297 1643466891 4930400673