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1382044764816 = 2432979672
BaseRepresentation
bin10100000111001000010…
…010011000101010010000
311220010022002001100020100
4110013020102120222100
5140120411424433231
62534522543412400
7201564233446422
oct24071022305220
94803262040210
101382044764816
11493138270351
121a3a23bb4100
13a0431a4ab61
144ac69b12812
1525e3bb9a1e6
hex141c8498a90

1382044764816 has 45 divisors (see below), whose sum is σ = 3867845315971. Its totient is φ = 460676885856.

The previous prime is 1382044764799. The next prime is 1382044764857. The reversal of 1382044764816 is 6184674402831.

The square root of 1382044764816 is 1175604.

It is a perfect power (a square), and thus also a powerful number.

1382044764816 is a `hidden beast` number, since 1 + 38 + 20 + 44 + 76 + 481 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14058265 + ... + 14156231.

Almost surely, 21382044764816 is an apocalyptic number.

1382044764816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1382044764816 is the 1175604-th square number.

It is an amenable number.

1382044764816 is an abundant number, since it is smaller than the sum of its proper divisors (2485800551155).

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

1382044764816 is an frugal number, since it uses more digits than its factorization.

1382044764816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195948 (or 97972 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 1382044764816 in words is "one trillion, three hundred eighty-two billion, forty-four million, seven hundred sixty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 97967 195934 293901 391868 587802 783736 881703 1175604 1567472 1763406 2351208 3526812 4702416 7053624 14107248 9597533089 19195066178 28792599267 38390132356 57585198534 76780264712 86377797801 115170397068 153560529424 172755595602 230340794136 345511191204 460681588272 691022382408 1382044764816