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164012912901 = 3226249694261
BaseRepresentation
bin1001100010111111101…
…1100111000100000101
3120200100100020020121200
42120233323213010011
510141344301203101
6203202501533113
714564251520505
oct2305773470405
9520310206550
10164012912901
1163615017002
1227953714199
131260a75c9b6
147d1c869a05
1543ede13986
hex262fee7105

164012912901 has 12 divisors (see below), whose sum is σ = 236916907500. Its totient is φ = 109337618880.

The previous prime is 164012912857. The next prime is 164012912941. The reversal of 164012912901 is 109219210461.

It is a happy number.

164012912901 is a `hidden beast` number, since 1 + 640 + 1 + 2 + 9 + 1 + 2 + 9 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107784173025 + 56228739876 = 328305^2 + 237126^2 .

It is not a de Polignac number, because 164012912901 - 219 = 164012388613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164012912941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110890 + ... + 583371.

It is an arithmetic number, because the mean of its divisors is an integer number (19743075625).

Almost surely, 2164012912901 is an apocalyptic number.

It is an amenable number.

164012912901 is a deficient number, since it is larger than the sum of its proper divisors (72903994599).

164012912901 is a wasteful number, since it uses less digits than its factorization.

164012912901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720516 (or 720513 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 164012912901 in words is "one hundred sixty-four billion, twelve million, nine hundred twelve thousand, nine hundred one".

Divisors: 1 3 9 26249 78747 236241 694261 2082783 6248349 18223656989 54670970967 164012912901