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2756038257424 = 24181222932
BaseRepresentation
bin101000000110110000101…
…011100110101100010000
3100202110211001012200022201
4220012300223212230100
5330123331243214144
65510035000412544
7403055124442264
oct50066053465420
910673731180281
102756038257424
11972913823721
1238617b777154
1316cb7c7433ca
14975704120a4
154ba56abd1d4
hex281b0ae6b10

2756038257424 has 45 divisors (see below), whose sum is σ = 5371831616319. Its totient is φ = 1369808115840.

The previous prime is 2756038257397. The next prime is 2756038257431. The reversal of 2756038257424 is 4247528306572.

It is a happy number.

The square root of 2756038257424 is 1660132.

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 1682675952400 + 1073362305024 = 1297180^2 + 1036032^2 .

It is a super-2 number, since 2×27560382574242 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 1201934422 + ... + 1201936714.

Almost surely, 22756038257424 is an apocalyptic number.

2756038257424 is the 1660132-nd square number.

It is an amenable number.

2756038257424 is a deficient number, since it is larger than the sum of its proper divisors (2615793358895).

2756038257424 is an frugal number, since it uses more digits than its factorization.

2756038257424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4956 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 55.

The spelling of 2756038257424 in words is "two trillion, seven hundred fifty-six billion, thirty-eight million, two hundred fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 181 362 724 1448 2293 2896 4586 9172 18344 32761 36688 65522 131044 262088 415033 524176 830066 1660132 3320264 5257849 6640528 10515698 21031396 42062792 75120973 84125584 150241946 300483892 600967784 951670669 1201935568 1903341338 3806682676 7613365352 15226730704 172252391089 344504782178 689009564356 1378019128712 2756038257424