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164040026740 = 22540920053793
BaseRepresentation
bin1001100011000110001…
…1000010101001110100
3120200102020020202210221
42120301203002221310
510141423221323430
6203205311024124
714565031135552
oct2306143025164
9520366222727
10164040026740
1163629356037
122796080b044
13126132640a5
147d222c6bd2
1544014bc57a
hex26318c2a74

164040026740 has 24 divisors (see below), whose sum is σ = 345326332680. Its totient is φ = 65455577088.

The previous prime is 164040026713. The next prime is 164040026741. The reversal of 164040026740 is 47620040461.

It can be written as a sum of positive squares in 4 ways, for example, as 96799387876 + 67240638864 = 311126^2 + 259308^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164040026696 and 164040026705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164040026741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10018717 + ... + 10035076.

It is an arithmetic number, because the mean of its divisors is an integer number (14388597195).

Almost surely, 2164040026740 is an apocalyptic number.

164040026740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164040026740 is an abundant number, since it is smaller than the sum of its proper divisors (181286305940).

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

164040026740 is a wasteful number, since it uses less digits than its factorization.

164040026740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20054211 (or 20054209 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 164040026740 in words is "one hundred sixty-four billion, forty million, twenty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 409 818 1636 2045 4090 8180 20053793 40107586 80215172 100268965 200537930 401075860 8202001337 16404002674 32808005348 41010006685 82020013370 164040026740