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1020623162256 = 24327087660849
BaseRepresentation
bin11101101101000011110…
…00011000101110010000
310121120101222112121122100
432312201320120232100
5113210214012143011
62100511240240400
7133510664511345
oct16664170305620
93546358477570
101020623162256
11363931192a45
12145978770100
1375323abb929
14375813c47cc
151b837077d56
hexeda1e18b90

1020623162256 has 30 divisors (see below), whose sum is σ = 2856327322550. Its totient is φ = 340207720704.

The previous prime is 1020623162243. The next prime is 1020623162407. The reversal of 1020623162256 is 6522613260201.

1020623162256 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 23 + 1 + 622 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 701714483856 + 318908678400 = 837684^2 + 564720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1020623162256.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3543830281 + ... + 3543830568.

Almost surely, 21020623162256 is an apocalyptic number.

1020623162256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1020623162256 is an abundant number, since it is smaller than the sum of its proper divisors (1835704160294).

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

1020623162256 is a wasteful number, since it uses less digits than its factorization.

1020623162256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7087660863 (or 7087660854 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1020623162256 in words is "one trillion, twenty billion, six hundred twenty-three million, one hundred sixty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7087660849 14175321698 21262982547 28350643396 42525965094 56701286792 63788947641 85051930188 113402573584 127577895282 170103860376 255155790564 340207720752 510311581128 1020623162256