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629670816324 = 223211410932
BaseRepresentation
bin10010010100110110100…
…11100010101001000100
32020012021211201200202100
421022123103202221010
540304031212110244
61201133342512100
763330554425464
oct11123323425104
92205254650670
10629670816324
11223050840000
12a204b595630
13474baa77264
1422694abdba4
15115a4b20b69
hex929b4e2a44

629670816324 has 135 divisors (see below), whose sum is σ = 1752427132365. Its totient is φ = 190634764320.

The previous prime is 629670816289. The next prime is 629670816331. The reversal of 629670816324 is 423618076926.

The square root of 629670816324 is 793518.

It is a perfect power (a square), and thus also a powerful number.

629670816324 is a `hidden beast` number, since 629 + 6 + 7 + 0 + 8 + 1 + 6 + 3 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 620487044100 + 9183772224 = 787710^2 + 95832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 576093522 + ... + 576094614.

Almost surely, 2629670816324 is an apocalyptic number.

629670816324 is the 793518-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629670816324

629670816324 is an abundant number, since it is smaller than the sum of its proper divisors (1122756316041).

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

629670816324 is an equidigital number, since it uses as much as digits as its factorization.

629670816324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 629670816324 in words is "six hundred twenty-nine billion, six hundred seventy million, eight hundred sixteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1093 1331 1452 2178 2186 2662 3279 3993 4356 4372 5324 6558 7986 9837 11979 12023 13116 14641 15972 19674 23958 24046 29282 36069 39348 43923 47916 48092 58564 72138 87846 108207 131769 132253 144276 175692 216414 263538 264506 396759 432828 527076 529012 793518 1190277 1194649 1454783 1587036 2380554 2389298 2909566 3583947 4364349 4761108 4778596 5819132 7167894 8728698 10751841 13093047 13141139 14335788 16002613 17457396 21503682 26186094 26282278 32005226 39423417 43007364 48007839 52372188 52564556 64010452 78846834 96015678 118270251 144023517 144552529 157693668 192031356 236540502 288047034 289105058 433657587 473081004 576094068 578210116 867315174 1300972761 1590077819 1734630348 2601945522 3180155638 4770233457 5203891044 6360311276 9540466914 14310700371 17490856009 19080933828 28621400742 34981712018 52472568027 57242801484 69963424036 104945136054 157417704081 209890272108 314835408162 629670816324