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1076213056416 = 253101110995571
BaseRepresentation
bin11111010100100110100…
…11000000001110100000
310210212220010201211111020
433222103103000032200
5120113041020301131
62142223324445440
7140516364020541
oct17522323001640
93725803654436
101076213056416
11385468239233
121546b16a9880
137a642988024
143a13628c4c8
151cedc547996
hexfa934c03a0

1076213056416 has 48 divisors (see below), whose sum is σ = 2853030182688. Its totient is φ = 355185824000.

The previous prime is 1076213056403. The next prime is 1076213056423. The reversal of 1076213056416 is 6146503126701.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55488090 + ... + 55507481.

It is an arithmetic number, because the mean of its divisors is an integer number (59438128806).

Almost surely, 21076213056416 is an apocalyptic number.

1076213056416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1076213056416 is an abundant number, since it is smaller than the sum of its proper divisors (1776817126272).

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

1076213056416 is a wasteful number, since it uses less digits than its factorization.

1076213056416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110995685 (or 110995677 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 1076213056416 in words is "one trillion, seventy-six billion, two hundred thirteen million, fifty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 110995571 221991142 332986713 443982284 665973426 887964568 1331946852 1775929136 2663893704 3551858272 5327787408 10655574816 11210552671 22421105342 33631658013 44842210684 67263316026 89684421368 134526632052 179368842736 269053264104 358737685472 538106528208 1076213056416