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6268057216 = 271729711399
BaseRepresentation
bin1011101011001101…
…01111011010000000
3121011211110022001021
411311212233122000
5100314110312331
62513550115224
7311220415201
oct56546573200
917154408037
106268057216
112727178183
12126b1abb14
1378b7914c5
144366695a8
1526a437211
hex1759af680

6268057216 has 128 divisors (see below), whose sum is σ = 13880160000. Its totient is φ = 2805841920.

The previous prime is 6268057177. The next prime is 6268057223. The reversal of 6268057216 is 6127508626.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 4479685 + ... + 4481083.

It is an arithmetic number, because the mean of its divisors is an integer number (108438750).

Almost surely, 26268057216 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 6268057216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940080000).

6268057216 is an abundant number, since it is smaller than the sum of its proper divisors (7612102784).

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

6268057216 is a wasteful number, since it uses less digits than its factorization.

6268057216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 6268057216 is about 79171.0629965267. The cubic root of 6268057216 is about 1843.7879997132.

The spelling of 6268057216 in words is "six billion, two hundred sixty-eight million, fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 71 116 128 136 142 232 272 284 464 493 544 568 928 986 1088 1136 1207 1399 1856 1972 2059 2176 2272 2414 2798 3712 3944 4118 4544 4828 5596 7888 8236 9088 9656 11192 15776 16472 19312 22384 23783 31552 32944 35003 38624 40571 44768 47566 63104 65888 70006 77248 81142 89536 95132 99329 131776 140012 154496 162284 179072 190264 198658 263552 280024 324568 380528 397316 560048 649136 689707 761056 794632 1120096 1298272 1379414 1522112 1589264 1688593 2240192 2596544 2758828 2880541 3044224 3178528 3377186 4480384 5193088 5517656 5761082 6357056 6754372 11035312 11522164 12714112 13508744 22070624 23044328 27017488 44141248 46088656 48969197 54034976 88282496 92177312 97938394 108069952 184354624 195876788 216139904 368709248 391753576 783507152 1567014304 3134028608 6268057216