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8032768997796 = 22324723692
BaseRepresentation
bin111010011100100011001…
…0101111011100110100100
31001102220222111000222010100
41310321012111323212210
52023102102330412141
625030111513224100
71456230334622034
oct164710625734644
931386874028110
108032768997796
11261775075a2a4
12a9897a102030
1346364385029a
141dab0675b8c4
15dde3dc030b6
hex74e4657b9a4

8032768997796 has 27 divisors (see below), whose sum is σ = 20305097952321. Its totient is φ = 2677583997504.

The previous prime is 8032768997777. The next prime is 8032768997801. The reversal of 8032768997796 is 6977998672308.

The square root of 8032768997796 is 2834214.

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

8032768997796 is a `hidden beast` number, since 80 + 327 + 68 + 9 + 9 + 77 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8005583583396 + 27185414400 = 2829414^2 + 164880^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16769100 + ... + 17241468.

Almost surely, 28032768997796 is an apocalyptic number.

8032768997796 is the 2834214-th square number.

It is an amenable number.

8032768997796 is an abundant number, since it is smaller than the sum of its proper divisors (12272328954525).

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

8032768997796 is an frugal number, since it uses more digits than its factorization.

8032768997796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944748 (or 472374 counting only the distinct ones).

The product of its (nonzero) digits is 3456649728, while the sum is 81.

Multiplying 8032768997796 by its sum of digits (81), we get a square (650654288821476 = 255079262).

The spelling of 8032768997796 in words is "eight trillion, thirty-two billion, seven hundred sixty-eight million, nine hundred ninety-seven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 472369 944738 1417107 1889476 2834214 4251321 5668428 8502642 17005284 223132472161 446264944322 669397416483 892529888644 1338794832966 2008192249449 2677589665932 4016384498898 8032768997796