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6208628690944 = 212389332
BaseRepresentation
bin101101001011000111100…
…0110111001000000000000
3210222112120000020011010201
41122112033012321000000
51303210232421102234
621112112111534544
71210362415061431
oct132261706710000
923875500204121
106208628690944
111a84079045899
1284333522a454
13360618224b54
141766dbc6d488
15ab779be1314
hex5a58f1b9000

6208628690944 has 39 divisors (see below), whose sum is σ = 12416060511793. Its totient is φ = 3104234610688.

The previous prime is 6208628690933. The next prime is 6208628690951. The reversal of 6208628690944 is 4490968268026.

The square root of 6208628690944 is 2491712.

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., 7970918400 + 6200657772544 = 89280^2 + 2490112^2 .

It is a super-3 number, since 3×62086286909443 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 159450102 + ... + 159489034.

Almost surely, 26208628690944 is an apocalyptic number.

6208628690944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6208628690944 is the 2491712-nd square number.

It is an amenable number.

6208628690944 is a deficient number, since it is larger than the sum of its proper divisors (6207431820849).

6208628690944 is an frugal number, since it uses more digits than its factorization.

6208628690944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77890 (or 38935 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 64.

Multiplying 6208628690944 by its sum of digits (64), we get a square (397352236220416 = 199336962).

6208628690944 divided by its sum of digits (64) gives a square (97009823296 = 3114642).

The spelling of 6208628690944 in words is "six trillion, two hundred eight billion, six hundred twenty-eight million, six hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 38933 77866 155732 311464 622928 1245856 2491712 4983424 9966848 19933696 39867392 79734784 159469568 1515778489 3031556978 6063113956 12126227912 24252455824 48504911648 97009823296 194019646592 388039293184 776078586368 1552157172736 3104314345472 6208628690944