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164123141540 = 22542971909741
BaseRepresentation
bin1001100011011010000…
…0000110010110100100
3120200122000122102212212
42120312200012112210
510142111011012130
6203221440302552
714600060454011
oct2306640062644
9520560572785
10164123141540
1163671264456
1227984611a58
1312627545147
147d2d360708
154408938e95
hex26368065a4

164123141540 has 24 divisors (see below), whose sum is σ = 344738986872. Its totient is φ = 65633944320.

The previous prime is 164123141521. The next prime is 164123141551. The reversal of 164123141540 is 45141321461.

It can be written as a sum of positive squares in 4 ways, for example, as 62832440896 + 101290700644 = 250664^2 + 318262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164123141497 and 164123141506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 868931 + ... + 1040810.

It is an arithmetic number, because the mean of its divisors is an integer number (14364124453).

Almost surely, 2164123141540 is an apocalyptic number.

164123141540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164123141540 is an abundant number, since it is smaller than the sum of its proper divisors (180615845332).

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

164123141540 is a wasteful number, since it uses less digits than its factorization.

164123141540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914047 (or 1914045 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 164123141540 in words is "one hundred sixty-four billion, one hundred twenty-three million, one hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 4297 8594 17188 21485 42970 85940 1909741 3819482 7638964 9548705 19097410 38194820 8206157077 16412314154 32824628308 41030785385 82061570770 164123141540