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2072500164 = 22327193113963
BaseRepresentation
bin111101110000111…
…1101011111000100
312100102202220202100
41323201331133010
513221030001124
6541352512100
7102233650350
oct17341753704
95312686670
102072500164
11973966059
1249a0ab630
132704acb77
1415936c460
15c1e341c9
hex7b87d7c4

2072500164 has 144 divisors (see below), whose sum is σ = 6506106880. Its totient is φ = 542842560.

The previous prime is 2072500163. The next prime is 2072500187. The reversal of 2072500164 is 4610052702.

It is not an unprimeable number, because it can be changed into a prime (2072500163) 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 47 ways as a sum of consecutive naturals, for example, 141447 + ... + 155409.

Almost surely, 22072500164 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 2072500164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253053440).

2072500164 is an abundant number, since it is smaller than the sum of its proper divisors (4433606716).

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

2072500164 is a wasteful number, since it uses less digits than its factorization.

2072500164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14030 (or 14025 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2072500164 is about 45524.7203615794. The cubic root of 2072500164 is about 1274.9647898004.

Adding to 2072500164 its reverse (4610052702), we get a palindrome (6682552866).

The spelling of 2072500164 in words is "two billion, seventy-two million, five hundred thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 31 36 38 42 57 62 63 76 84 93 114 124 126 133 171 186 217 228 252 266 279 342 372 399 434 532 558 589 651 684 798 868 1116 1178 1197 1302 1596 1767 1953 2356 2394 2604 3534 3906 4123 4788 5301 7068 7812 8246 10602 12369 13963 16492 21204 24738 27926 37107 41889 49476 55852 74214 83778 97741 125667 148428 167556 195482 251334 265297 293223 390964 432853 502668 530594 586446 795891 865706 879669 1061188 1172892 1298559 1591782 1731412 1759338 1857079 2387673 2597118 3029971 3183564 3518676 3714158 3895677 4775346 5194236 5571237 6059942 7428316 7791354 8224207 9089913 9550692 11142474 12119884 15582708 16448414 16713711 18179826 22284948 24672621 27269739 32896828 33427422 36359652 49345242 54539478 57569449 66854844 74017863 98690484 109078956 115138898 148035726 172708347 230277796 296071452 345416694 518125041 690833388 1036250082 2072500164