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3348475453456 = 2472653532
BaseRepresentation
bin110000101110100000101…
…100001010000000010000
3102212010000000022111010021
4300232200230022000100
5414330134204002311
611042133545513224
7463630225511200
oct60564054120020
912763000274107
103348475453456
11108109810a701
12460b597a2814
131b39b55c3583
14b80d20b6400
155c17ca00171
hex30ba0b0a010

3348475453456 has 45 divisors (see below), whose sum is σ = 7546998294621. Its totient is φ = 1435038950016.

The previous prime is 3348475453429. The next prime is 3348475453517. The reversal of 3348475453456 is 6543545748433.

The square root of 3348475453456 is 1829884.

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., 2980249795600 + 368225657856 = 1726340^2 + 606816^2 .

It is a super-2 number, since 2×33484754534562 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3348475453394 and 3348475453403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51204076 + ... + 51269428.

Almost surely, 23348475453456 is an apocalyptic number.

3348475453456 is the 1829884-th square number.

It is an amenable number.

3348475453456 is an abundant number, since it is smaller than the sum of its proper divisors (4198522841165).

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

3348475453456 is an frugal number, since it uses more digits than its factorization.

3348475453456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130728 (or 65362 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 61.

The spelling of 3348475453456 in words is "three trillion, three hundred forty-eight billion, four hundred seventy-five million, four hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 65353 130706 261412 457471 522824 914942 1045648 1829884 3202297 3659768 6404594 7319536 12809188 25618376 51236752 4271014609 8542029218 17084058436 29897102263 34168116872 59794204526 68336233744 119588409052 209279715841 239176818104 418559431682 478353636208 837118863364 1674237726728 3348475453456