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3764989168164 = 223272461992
BaseRepresentation
bin110110110010011010110…
…101111000101000100100
3111022221002120100111000100
4312302122311320220210
5443141144211340124
612001340120144100
7536003640620100
oct66623265705044
914287076314010
103764989168164
1112217a5261304
1250981b308030
13214063262523
14d0325532900
1567e090661c9
hex36c9ad78a24

3764989168164 has 81 divisors (see below), whose sum is σ = 11071100645787. Its totient is φ = 1075687906608.

The previous prime is 3764989168153. The next prime is 3764989168189. The reversal of 3764989168164 is 4618619894673.

It is a happy number.

The square root of 3764989168164 is 1940358.

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

3764989168164 is a `hidden beast` number, since 3 + 76 + 498 + 9 + 1 + 6 + 8 + 1 + 64 = 666.

3764989168164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×37649891681642 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3764989168092 and 3764989168101.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 81471937 + ... + 81518135.

Almost surely, 23764989168164 is an apocalyptic number.

3764989168164 is the 1940358-th square number.

It is an amenable number.

3764989168164 is an abundant number, since it is smaller than the sum of its proper divisors (7306111477623).

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

3764989168164 is an frugal number, since it uses more digits than its factorization.

3764989168164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92422 (or 46211 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 3764989168164 in words is "three trillion, seven hundred sixty-four billion, nine hundred eighty-nine million, one hundred sixty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 46199 92398 138597 184796 277194 323393 415791 554388 646786 831582 970179 1293572 1663164 1940358 2263751 2910537 3880716 4527502 5821074 6791253 9055004 11642148 13582506 20373759 27165012 40747518 81495036 2134347601 4268695202 6403042803 8537390404 12806085606 14940433207 19209128409 25612171212 29880866414 38418256818 44821299621 59761732828 76836513636 89642599242 104583032449 134463898863 179285198484 209166064898 268927797726 313749097347 418332129796 537855595452 627498194694 941247292041 1254996389388 1882494584082 3764989168164