Search a number
-
+
3946674166554 = 2373103113164767
BaseRepresentation
bin111001011011101000000…
…111001001101100011010
3111222022001111201200111210
4321123220013021230122
51004130242041312204
612221024352203550
7555065156622000
oct71335007115432
914868044650453
103946674166554
11129185874a739
12538a852395b6
13228229000032
14d903d02aa70
156c9de65d389
hex396e81c9b1a

3946674166554 has 128 divisors (see below), whose sum is σ = 9376749158400. Its totient is φ = 1106784628992.

The previous prime is 3946674166511. The next prime is 3946674166577. The reversal of 3946674166554 is 4556614766493.

3946674166554 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23870679 + ... + 24035445.

It is an arithmetic number, because the mean of its divisors is an integer number (73255852800).

Almost surely, 23946674166554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3946674166554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688374579200).

3946674166554 is an abundant number, since it is smaller than the sum of its proper divisors (5430074991846).

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

3946674166554 is a wasteful number, since it uses less digits than its factorization.

3946674166554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165009 (or 164995 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 66.

The spelling of 3946674166554 in words is "three trillion, nine hundred forty-six billion, six hundred seventy-four million, one hundred sixty-six thousand, five hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 103 113 147 206 226 294 309 339 343 618 678 686 721 791 1029 1442 1582 2058 2163 2373 4326 4746 5047 5537 10094 11074 11639 15141 16611 23278 30282 33222 34917 35329 38759 69834 70658 77518 81473 105987 116277 162946 164767 211974 232554 244419 329534 488838 494301 570311 988602 1140622 1153369 1710933 2306738 3421866 3460107 3992177 6920214 7984354 8073583 11976531 16147166 16971001 18618671 23953062 24220749 33942002 37237342 48441498 50913003 55856013 56515081 101826006 111712026 113030162 118797007 130330697 169545243 237594014 260661394 339090486 356391021 390992091 712782042 781984182 831579049 912314879 1663158098 1824629758 1917723113 2494737147 2736944637 3835446226 4989474294 5473889274 5753169339 5821053343 6386204153 11506338678 11642106686 12772408306 13424061791 17463160029 19158612459 26848123582 34926320058 38317224918 40272185373 80544370746 93968432537 187936865074 281905297611 563810595222 657779027759 1315558055518 1973337083277 3946674166554