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1083381212736 = 263231213992
BaseRepresentation
bin11111100001111101000…
…11010110011001000000
310211120101200212220101100
433300332203112121000
5120222231042301421
62145410511134400
7141162124236504
oct17607643263100
93746350786340
101083381212736
113885064a6169
12155b72214400
137b215a79044
143a61629c304
151d2ab9cac26
hexfc3e8d6640

1083381212736 has 189 divisors, whose sum is σ = 3211014699243. Its totient is φ = 349228005120.

The previous prime is 1083381212707. The next prime is 1083381212807. The reversal of 1083381212736 is 6372121833801.

The square root of 1083381212736 is 1040856.

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

1083381212736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1083381212691 and 1083381212700.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 774396165 + ... + 774397563.

Almost surely, 21083381212736 is an apocalyptic number.

1083381212736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1083381212736 is the 1040856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083381212736

1083381212736 is an abundant number, since it is smaller than the sum of its proper divisors (2127633486507).

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

1083381212736 is an frugal number, since it uses more digits than its factorization.

1083381212736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1083381212736 in words is "one trillion, eighty-three billion, three hundred eighty-one million, two hundred twelve thousand, seven hundred thirty-six".