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330969225608 = 23765932
BaseRepresentation
bin1001101000011110100…
…11011001100110001000
31011122021210222200200222
410310033103121212020
520410311110204413
6412013431045212
732624504000000
oct4641723314610
91148253880628
10330969225608
111183aa55492a
1254188b10808
1325296c47588
141203a1a7000
15892143ab08
hex4d0f4d9988

330969225608 has 84 divisors (see below), whose sum is σ = 725217261765. Its totient is φ = 141604756608.

The previous prime is 330969225607. The next prime is 330969225647. The reversal of 330969225608 is 806522969033.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 326541387844 + 4427837764 = 571438^2 + 66542^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=406798.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 330969225608.

It is not an unprimeable number, because it can be changed into a prime (330969225607) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 558126560 + ... + 558127152.

Almost surely, 2330969225608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330969225608

330969225608 is an abundant number, since it is smaller than the sum of its proper divisors (394248036157).

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

330969225608 is an frugal number, since it uses more digits than its factorization.

330969225608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 53.

The spelling of 330969225608 in words is "three hundred thirty billion, nine hundred sixty-nine million, two hundred twenty-five thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 593 686 1186 1372 2372 2401 2744 4151 4744 4802 8302 9604 16604 16807 19208 29057 33208 33614 58114 67228 116228 117649 134456 203399 232456 235298 351649 406798 470596 703298 813596 941192 1406596 1423793 1627192 2461543 2813192 2847586 4923086 5695172 9846172 9966551 11390344 17230801 19692344 19933102 34461602 39866204 68923204 69765857 79732408 120615607 137846408 139531714 241231214 279063428 482462428 558126856 844309249 964924856 1688618498 3377236996 5910164743 6754473992 11820329486 23640658972 41371153201 47281317944 82742306402 165484612804 330969225608