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3485778616576 = 281166892
BaseRepresentation
bin110010101110011000100…
…110001010000100000000
3110100020101220102212011001
4302232120212022010000
5424102333311212301
611225202233101344
7506560562240254
oct62563046120400
913306356385131
103485778616576
111124346178333
12483698257854
131c39275387a9
14c09d9496264
1560a16ab3c01
hex32b9898a100

3485778616576 has 27 divisors (see below), whose sum is σ = 6958000539021. Its totient is φ = 1742874372096.

The previous prime is 3485778616571. The next prime is 3485778616631. The reversal of 3485778616576 is 6756168775843.

The square root of 3485778616576 is 1867024.

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., 3356868894976 + 128909721600 = 1832176^2 + 359040^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3485778616499 and 3485778616508.

It is not an unprimeable number, because it can be changed into a prime (3485778616571) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 29814040 + ... + 29930728.

Almost surely, 23485778616576 is an apocalyptic number.

3485778616576 is the 1867024-th square number.

It is an amenable number.

3485778616576 is a deficient number, since it is larger than the sum of its proper divisors (3472221922445).

3485778616576 is an frugal number, since it uses more digits than its factorization.

3485778616576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233394 (or 116691 counting only the distinct ones).

The product of its digits is 1422489600, while the sum is 73.

The spelling of 3485778616576 in words is "three trillion, four hundred eighty-five billion, seven hundred seventy-eight million, six hundred sixteen thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 116689 233378 466756 933512 1867024 3734048 7468096 14936192 29872384 13616322721 27232645442 54465290884 108930581768 217861163536 435722327072 871444654144 1742889308288 3485778616576