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9428682619456 = 2646328292
BaseRepresentation
bin1000100100110100100101…
…0001110011101001000000
31020101101002002210020100021
42021031021101303221000
52213434420222310311
632015251010503224
71662125354625442
oct211151121635100
936341062706307
109428682619456
113005755596001
121083412894b14
135351759810b9
142484ca36a492
151153dd229171
hex89349473a40

9428682619456 has 63 divisors (see below), whose sum is σ = 18773185357161. Its totient is φ = 4698484648704.

The previous prime is 9428682619451. The next prime is 9428682619481. The reversal of 9428682619456 is 6549162868249.

It is a happy number.

The square root of 9428682619456 is 3070616.

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., 5428042593856 + 4000640025600 = 2329816^2 + 2000160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9428682619451) by changing a digit.

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, 11373561250 + ... + 11373562078.

Almost surely, 29428682619456 is an apocalyptic number.

9428682619456 is the 3070616-th square number.

It is an amenable number.

9428682619456 is a deficient number, since it is larger than the sum of its proper divisors (9344502737705).

9428682619456 is an frugal number, since it uses more digits than its factorization.

9428682619456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 1294 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 70.

The spelling of 9428682619456 in words is "nine trillion, four hundred twenty-eight billion, six hundred eighty-two million, six hundred nineteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 463 829 926 1658 1852 3316 3704 6632 7408 13264 14816 26528 29632 53056 214369 383827 428738 687241 767654 857476 1374482 1535308 1714952 2748964 3070616 3429904 5497928 6141232 6859808 10995856 12282464 13719616 21991712 24564928 43983424 177711901 318192583 355423802 636385166 710847604 1272770332 1421695208 2545540664 2843390416 5091081328 5686780832 10182162656 11373561664 20364325312 147323165929 294646331858 589292663716 1178585327432 2357170654864 4714341309728 9428682619456