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1348097477776 = 2472414672
BaseRepresentation
bin10011100111100000110…
…111110000110010010000
311202212200020020110222221
4103213200313300302100
5134041400423242101
62511150223310424
7166253053331200
oct23474067606220
94685606213887
101348097477776
1147a7a7977125
1219932b14b414
139a18195c56a
1449369356400
152510175eaa1
hex139e0df0c90

1348097477776 has 45 divisors (see below), whose sum is σ = 3038451135219. Its totient is φ = 577742128992.

The previous prime is 1348097477737. The next prime is 1348097477813. The reversal of 1348097477776 is 6777747908431.

The square root of 1348097477776 is 1161076.

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

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 32489395 + ... + 32530861.

Almost surely, 21348097477776 is an apocalyptic number.

1348097477776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1348097477776 is the 1161076-th square number.

It is an amenable number.

1348097477776 is an abundant number, since it is smaller than the sum of its proper divisors (1690353657443).

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

1348097477776 is an frugal number, since it uses more digits than its factorization.

1348097477776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82956 (or 41476 counting only the distinct ones).

The product of its (nonzero) digits is 348509952, while the sum is 70.

The spelling of 1348097477776 in words is "one trillion, three hundred forty-eight billion, ninety-seven million, four hundred seventy-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 41467 82934 165868 290269 331736 580538 663472 1161076 2031883 2322152 4063766 4644304 8127532 16255064 32510128 1719512089 3439024178 6878048356 12036584623 13756096712 24073169246 27512193424 48146338492 84256092361 96292676984 168512184722 192585353968 337024369444 674048738888 1348097477776