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1074966681636 = 22321728012
BaseRepresentation
bin11111010010010010000…
…00011101100000100100
310210202200021110102201100
433221021000131200210
5120103012432303021
62141455522400100
7140443451014041
oct17511100354044
93722607412640
101074966681636
11384988738431
12154404200030
137a4a46a7563
143a05892a1c8
151ce67deb626
hexfa4901d824

1074966681636 has 27 divisors (see below), whose sum is σ = 2717292614673. Its totient is φ = 358320153600.

The previous prime is 1074966681631. The next prime is 1074966681643. The reversal of 1074966681636 is 6361866694701.

The square root of 1074966681636 is 1036806.

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

It can be written as a sum of positive squares in only one way, i.e., 1060681651236 + 14285030400 = 1029894^2 + 119520^2 .

It is not an unprimeable number, because it can be changed into a prime (1074966681631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6134436 + ... + 6307236.

Almost surely, 21074966681636 is an apocalyptic number.

1074966681636 is the 1036806-th square number.

It is an amenable number.

1074966681636 is an abundant number, since it is smaller than the sum of its proper divisors (1642325933037).

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

1074966681636 is an frugal number, since it uses more digits than its factorization.

1074966681636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345612 (or 172806 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 1074966681636 in words is "one trillion, seventy-four billion, nine hundred sixty-six million, six hundred eighty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 172801 345602 518403 691204 1036806 1555209 2073612 3110418 6220836 29860185601 59720371202 89580556803 119440742404 179161113606 268741670409 358322227212 537483340818 1074966681636