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4132292102416 = 2459328572
BaseRepresentation
bin111100001000011111110…
…011011000100100010000
3112122001011112121210222001
4330020133303120210100
51020200413234234131
612442203200523344
7604356023216602
oct74103763304420
915561145553861
104132292102416
11135354a188215
12568a48320554
1323c89a80b78a
1410400adbd172
1572755180261
hex3c21fcd8910

4132292102416 has 45 divisors (see below), whose sum is σ = 8029209051631. Its totient is φ = 2060254985216.

The previous prime is 4132292102377. The next prime is 4132292102473. The reversal of 4132292102416 is 6142012922314.

The square root of 4132292102416 is 2032804.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1423239456016 + 2709052646400 = 1192996^2 + 1645920^2 .

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, 4821810660 + ... + 4821811516.

Almost surely, 24132292102416 is an apocalyptic number.

4132292102416 is the 2032804-th square number.

It is an amenable number.

4132292102416 is a deficient number, since it is larger than the sum of its proper divisors (3896916949215).

4132292102416 is an frugal number, since it uses more digits than its factorization.

4132292102416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 4132292102416 in words is "four trillion, one hundred thirty-two billion, two hundred ninety-two million, one hundred two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 593 857 1186 1714 2372 3428 4744 6856 9488 13712 351649 508201 703298 734449 1016402 1406596 1468898 2032804 2813192 2937796 4065608 5626384 5875592 8131216 11751184 301363193 435528257 602726386 871056514 1205452772 1742113028 2410905544 3484226056 4821811088 6968452112 258268256401 516536512802 1033073025604 2066146051208 4132292102416