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162492000145 = 5617103350989
BaseRepresentation
bin1001011101010101000…
…1110010011110010001
3120112102100100212112121
42113111101302132101
510130240423001040
6202351531254241
714511463132516
oct2272521623621
9515370325477
10162492000145
1162a04552812
12275aa2aa381
1312427627a17
147c1688130d
154360637c4a
hex25d5472791

162492000145 has 16 divisors (see below), whose sum is σ = 195499331280. Its totient is φ = 129654733824.

The previous prime is 162492000023. The next prime is 162492000149. The reversal of 162492000145 is 541000294261.

162492000145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 636250176 + 161855749969 = 25224^2 + 402313^2 .

It is a cyclic number.

It is not a de Polignac number, because 162492000145 - 27 = 162492000017 is a prime.

It is a super-2 number, since 2×1624920001452 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 162492000145.

It is not an unprimeable number, because it can be changed into a prime (162492000149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3161311 + ... + 3212299.

It is an arithmetic number, because the mean of its divisors is an integer number (12218708205).

Almost surely, 2162492000145 is an apocalyptic number.

162492000145 is the 254945-th heptagonal number.

It is an amenable number.

162492000145 is a deficient number, since it is larger than the sum of its proper divisors (33007331135).

162492000145 is a wasteful number, since it uses less digits than its factorization.

162492000145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52644.

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 162492000145 in words is "one hundred sixty-two billion, four hundred ninety-two million, one hundred forty-five", and thus it is an aban number.

Divisors: 1 5 617 1033 3085 5165 50989 254945 637361 3186805 31460213 52671637 157301065 263358185 32498400029 162492000145