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2768883712 = 2127269359
BaseRepresentation
bin1010010100001001…
…1101000000000000
321010222010212101121
42211002131000000
521132313234322
61134430442024
7125421060160
oct24502350000
97128125347
102768883712
1111a0a65351
12653363314
1335185413a
141c3a445a0
1511313eec7
hexa509d000

2768883712 has 104 divisors (see below), whose sum is σ = 6369321600. Its totient is φ = 1178959872.

The previous prime is 2768883703. The next prime is 2768883739. The reversal of 2768883712 is 2173888672.

It is a self number, because there is not a number n which added to its sum of digits gives 2768883712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7712589 + ... + 7712947.

Almost surely, 22768883712 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 2768883712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184660800).

2768883712 is an abundant number, since it is smaller than the sum of its proper divisors (3600437888).

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

2768883712 is an equidigital number, since it uses as much as digits as its factorization.

2768883712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 637 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 52.

The square root of 2768883712 is about 52620.1835040510. The cubic root of 2768883712 is about 1404.2191955992.

The spelling of 2768883712 in words is "two billion, seven hundred sixty-eight million, eight hundred eighty-three thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 269 359 448 512 538 718 896 1024 1076 1436 1792 1883 2048 2152 2513 2872 3584 3766 4096 4304 5026 5744 7168 7532 8608 10052 11488 14336 15064 17216 20104 22976 28672 30128 34432 40208 45952 60256 68864 80416 91904 96571 120512 137728 160832 183808 193142 241024 275456 321664 367616 386284 482048 550912 643328 675997 735232 772568 964096 1101824 1286656 1351994 1470464 1545136 1928192 2573312 2703988 3090272 3856384 5146624 5407976 6180544 7712768 10293248 10815952 12361088 21631904 24722176 43263808 49444352 86527616 98888704 173055232 197777408 346110464 395554816 692220928 1384441856 2768883712