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9429100227856 = 24232333772
BaseRepresentation
bin1000100100110110001000…
…1010110110110100010000
31020101102011012120221101001
42021031202022312310100
52213441244124242411
632015400245351344
71662141615345601
oct211154212666420
936342135527331
109429100227856
11300594a298411
12108350a708554
1353521134936a
142485299d5da8
15115414c19dc1
hex893622b6d10

9429100227856 has 45 divisors (see below), whose sum is σ = 19098287842501. Its totient is φ = 4509434564096.

The previous prime is 9429100227839. The next prime is 9429100227889. The reversal of 9429100227856 is 6587220019249.

It is a happy number.

The square root of 9429100227856 is 3070684.

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., 6911115210000 + 2517985017856 = 2628900^2 + 1586816^2 .

It is a super-2 number, since 2×94291002278562 (a number of 27 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 = 9429100227797 and 9429100227806.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 282486240 + ... + 282519616.

Almost surely, 29429100227856 is an apocalyptic number.

9429100227856 is the 3070684-th square number.

It is an amenable number.

9429100227856 is an abundant number, since it is smaller than the sum of its proper divisors (9669187614645).

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

9429100227856 is an frugal number, since it uses more digits than its factorization.

9429100227856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66808 (or 33402 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 9429100227856 in words is "nine trillion, four hundred twenty-nine billion, one hundred million, two hundred twenty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 8464 33377 66754 133508 267016 534032 767671 1535342 3070684 6141368 12282736 17656433 35312866 70625732 141251464 282502928 1114024129 2228048258 4456096516 8912193032 17824386064 25622554967 51245109934 102490219868 204980439736 409960879472 589318764241 1178637528482 2357275056964 4714550113928 9429100227856