Search a number
-
+
6989903388 = 223213191934073
BaseRepresentation
bin1101000001010000…
…10111011000011100
3200001010201212211200
412200220113120130
5103303403402023
63113333515500
7335134125036
oct64050273034
920033655750
106989903388
112a67688966
121430aa2b90
138751ac410
144a448cc56
152ad9c2743
hex1a0a1761c

6989903388 has 144 divisors (see below), whose sum is σ = 20138270880. Its totient is φ = 2026487808.

The previous prime is 6989903387. The next prime is 6989903477. The reversal of 6989903388 is 8833099896.

It is a super-3 number, since 3×69899033883 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6989903387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1714120 + ... + 1718192.

Almost surely, 26989903388 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 6989903388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10069135440).

6989903388 is an abundant number, since it is smaller than the sum of its proper divisors (13148367492).

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

6989903388 is a wasteful number, since it uses less digits than its factorization.

6989903388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The square root of 6989903388 is about 83605.6420823380. The cubic root of 6989903388 is about 1912.0110200371.

The spelling of 6989903388 in words is "six billion, nine hundred eighty-nine million, nine hundred three thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 193 228 234 247 342 386 468 494 579 684 741 772 988 1158 1482 1737 2223 2316 2509 2964 3474 3667 4073 4446 5018 6948 7334 7527 8146 8892 10036 11001 12219 14668 15054 16292 22002 22581 24438 30108 33003 36657 44004 45162 47671 48876 52949 66006 73314 77387 90324 95342 105898 132012 143013 146628 154774 158847 190684 211796 232161 286026 309548 317694 429039 464322 476541 572052 635388 696483 786089 858078 928644 953082 1006031 1392966 1572178 1716156 1906164 2012062 2358267 2785932 3018093 3144356 4024124 4716534 6036186 7074801 9054279 9433068 10219157 12072372 14149602 14935691 18108558 20438314 28299204 29871382 30657471 36217116 40876628 44807073 59742764 61314942 89614146 91972413 122629884 134421219 179228292 183944826 194163983 268842438 367889652 388327966 537684876 582491949 776655932 1164983898 1747475847 2329967796 3494951694 6989903388