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4702390693 = 72112133192
BaseRepresentation
bin1000110000100100…
…01100100110100101
3110010201101012100021
410120102030212211
534112303000233
62054340315141
7224346442600
oct43022144645
913121335307
104702390693
111aa3416800
12ab29a2ab1
1359c2ba000
14328751337
151c7c6ae2d
hex11848c9a5

4702390693 has 108 divisors (see below), whose sum is σ = 6874299180. Its totient is φ = 3204321120.

The previous prime is 4702390663. The next prime is 4702390729. The reversal of 4702390693 is 3960932074.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 173369889 + 4529020804 = 13167^2 + 67298^2 .

It is not a de Polignac number, because 4702390693 - 229 = 4165519781 is a prime.

It is a super-2 number, since 2×47023906932 = 44224956459226040498, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4702390613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 247494238 + ... + 247494256.

Almost surely, 24702390693 is an apocalyptic number.

It is an amenable number.

4702390693 is a deficient number, since it is larger than the sum of its proper divisors (2171908487).

4702390693 is a wasteful number, since it uses less digits than its factorization.

4702390693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 43.

The square root of 4702390693 is about 68573.9797080496. The cubic root of 4702390693 is about 1675.3526478704.

The spelling of 4702390693 in words is "four billion, seven hundred two million, three hundred ninety thousand, six hundred ninety-three".

Divisors: 1 7 11 13 19 49 77 91 121 133 143 169 209 247 361 539 637 847 931 1001 1183 1463 1573 1729 1859 2197 2299 2527 2717 3211 3971 4693 5929 7007 8281 10241 11011 12103 13013 15379 16093 17689 19019 20449 22477 24167 27797 29887 32851 35321 41743 43681 51623 61009 77077 91091 107653 112651 133133 143143 157339 169169 194579 209209 229957 247247 265837 292201 305767 361361 388531 427063 459173 567853 671099 793117 1002001 1184183 1464463 1730729 1860859 2045407 2140369 2529527 2719717 2989441 3214211 3974971 4697693 5050903 5551819 7382089 8724287 13026013 19038019 22499477 27824797 32883851 35356321 38862733 51674623 61070009 95967157 247494247 361722361 427490063 671770099 4702390693