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2021466126440 = 235280118042361
BaseRepresentation
bin11101011010101000110…
…001010011100001101000
321011020202110011001121002
4131122220301103201220
5231104430312021230
64144352042334132
7266021546366045
oct35325061234150
97136673131532
102021466126440
1170a331a24352
12287934aba348
13118814901137
146dba777c1cc
15378b2801545
hex1d6a8c53868

2021466126440 has 32 divisors (see below), whose sum is σ = 4549922849160. Its totient is φ = 808297728000.

The previous prime is 2021466126389. The next prime is 2021466126443. The reversal of 2021466126440 is 446216641202.

It can be written as a sum of positive squares in 4 ways, for example, as 982481404804 + 1038984721636 = 991202^2 + 1019306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2021466126394 and 2021466126403.

It is not an unprimeable number, because it can be changed into a prime (2021466126443) 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 7 ways as a sum of consecutive naturals, for example, 8909141 + ... + 9133220.

Almost surely, 22021466126440 is an apocalyptic number.

2021466126440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021466126440 is an abundant number, since it is smaller than the sum of its proper divisors (2528456722720).

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

2021466126440 is a wasteful number, since it uses less digits than its factorization.

2021466126440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18045173 (or 18045169 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 2021466126440 in words is "two trillion, twenty-one billion, four hundred sixty-six million, one hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2801 5602 11204 14005 22408 28010 56020 112040 18042361 36084722 72169444 90211805 144338888 180423610 360847220 721694440 50536653161 101073306322 202146612644 252683265805 404293225288 505366531610 1010733063220 2021466126440