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3861669006 = 23713113601
BaseRepresentation
bin1110011000101100…
…0110010010001110
3100222010102010000000
43212023012102032
530402041402011
61435104545130
7164460434136
oct34613062216
910863363000
103861669006
1117018a2098
128b93221a6
13497079c60
14288c25ac6
1517904d356
hexe62c648e

3861669006 has 128 divisors (see below), whose sum is σ = 9454193280. Its totient is φ = 1175731200.

The previous prime is 3861669001. The next prime is 3861669013. The reversal of 3861669006 is 6009661683.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3861669001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6425106 + ... + 6425706.

It is an arithmetic number, because the mean of its divisors is an integer number (73860885).

Almost surely, 23861669006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3861669006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727096640).

3861669006 is an abundant number, since it is smaller than the sum of its proper divisors (5592524274).

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

3861669006 is a wasteful number, since it uses less digits than its factorization.

3861669006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3861669006 is about 62142.3286174569. The cubic root of 3861669006 is about 1568.8870641743.

The spelling of 3861669006 in words is "three billion, eight hundred sixty-one million, six hundred sixty-nine thousand, six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 113 117 162 226 234 243 339 351 486 601 678 702 729 1017 1053 1202 1458 1469 1803 2034 2106 2187 2938 3051 3159 3606 4374 4407 5409 6102 6318 7813 8814 9153 9477 10818 13221 15626 16227 18306 18954 23439 26442 27459 28431 32454 39663 46878 48681 54918 56862 67913 70317 79326 82377 97362 118989 135826 140634 146043 164754 203739 210951 237978 247131 292086 356967 407478 421902 438129 494262 611217 632853 713934 876258 882869 1070901 1222434 1265706 1314387 1765738 1833651 1898559 2141802 2628774 2648607 3212703 3667302 3797118 5297214 5500953 5695677 6425406 7945821 11001906 11391354 15891642 16502859 17087031 23837463 33005718 34174062 47674926 49508577 71512389 99017154 143024778 148525731 214537167 297051462 429074334 643611501 1287223002 1930834503 3861669006