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6016778496 = 2834290161
BaseRepresentation
bin1011001101010000…
…01100000100000000
3120112022122000110000
411212220030010000
544310243402441
62433012240000
7302046526161
oct54650140400
916468560400
106016778496
112608350813
1211bb010000
1374b6c1a81
14411139768
1525334e2b6
hex166a0c100

6016778496 has 90 divisors (see below), whose sum is σ = 17941006622. Its totient is φ = 2005585920.

The previous prime is 6016778491. The next prime is 6016778501. The reversal of 6016778496 is 6948776106.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6016778491) and next prime (6016778501).

It can be written as a sum of positive squares in only one way, i.e., 4087812096 + 1928966400 = 63936^2 + 43920^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6016778491) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 124345 + ... + 165816.

Almost surely, 26016778496 is an apocalyptic number.

It is an amenable number.

6016778496 is an abundant number, since it is smaller than the sum of its proper divisors (11924228126).

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

6016778496 is an equidigital number, since it uses as much as digits as its factorization.

6016778496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290189 (or 290166 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 6016778496 is about 77567.8960395343. The cubic root of 6016778496 is about 1818.8128247827.

The spelling of 6016778496 in words is "six billion, sixteen million, seven hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 290161 580322 870483 1160644 1740966 2321288 2611449 3481932 4642576 5222898 6963864 7834347 9285152 10445796 13927728 15668694 18570304 20891592 23503041 27855456 31337388 37140608 41783184 47006082 55710912 62674776 74281216 83566368 94012164 111421824 125349552 167132736 188024328 222843648 250699104 334265472 376048656 501398208 668530944 752097312 1002796416 1504194624 2005592832 3008389248 6016778496