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2469247675456 = 2689222072
BaseRepresentation
bin100011111011101010101…
…000010110110001000000
322202001120010010121120111
4203323222220112301000
5310424004401103311
65130205015121104
7343253154635512
oct43735250266100
98661503117514
102469247675456
11872224a37731
1233a682073194
1314bb064ba4b3
148772578dbb2
154436de2ad21
hex23eeaa16c40

2469247675456 has 63 divisors (see below), whose sum is σ = 4957833572629. Its totient is φ = 1220198532608.

The previous prime is 2469247675423. The next prime is 2469247675481. The reversal of 2469247675456 is 6545767429642.

The square root of 2469247675456 is 1571384.

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., 474147925056 + 1995099750400 = 688584^2 + 1412480^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2469247675391 and 2469247675400.

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, 1118824305 + ... + 1118826511.

Almost surely, 22469247675456 is an apocalyptic number.

2469247675456 is the 1571384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2469247675456

2469247675456 is an abundant number, since it is smaller than the sum of its proper divisors (2488585897173).

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

2469247675456 is an frugal number, since it uses more digits than its factorization.

2469247675456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 2298 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 67.

The spelling of 2469247675456 in words is "two trillion, four hundred sixty-nine billion, two hundred forty-seven million, six hundred seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 2207 2848 4414 5696 7921 8828 15842 17656 31684 35312 63368 70624 126736 141248 196423 253472 392846 506944 785692 1571384 3142768 4870849 6285536 9741698 12571072 17481647 19483396 34963294 38966792 69926588 77933584 139853176 155867168 279706352 311734336 433505561 559412704 867011122 1118825408 1734022244 3468044488 6936088976 13872177952 27744355904 38581994929 77163989858 154327979716 308655959432 617311918864 1234623837728 2469247675456