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254740000768 = 2121113741269
BaseRepresentation
bin1110110100111110101…
…1111111000000000000
3220100112021020211210021
43231033223333000000
513133201420011033
6313005334143224
724255460164661
oct3551753770000
9810467224707
10254740000768
11990420a8a60
1241453ab1b14
131b0390b6986
14c488153368
15695e013b2d
hex3b4faff000

254740000768 has 104 divisors (see below), whose sum is σ = 559798495920. Its totient is φ = 114942935040.

The previous prime is 254740000747. The next prime is 254740000771. The reversal of 254740000768 is 867000047452.

254740000768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 6152038 + ... + 6193306.

Almost surely, 2254740000768 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 254740000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279899247960).

254740000768 is an abundant number, since it is smaller than the sum of its proper divisors (305058495152).

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

254740000768 is a wasteful number, since it uses less digits than its factorization.

254740000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41441 (or 41419 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The spelling of 254740000768 in words is "two hundred fifty-four billion, seven hundred forty million, seven hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 137 176 256 274 352 512 548 704 1024 1096 1408 1507 2048 2192 2816 3014 4096 4384 5632 6028 8768 11264 12056 17536 22528 24112 35072 41269 45056 48224 70144 82538 96448 140288 165076 192896 280576 330152 385792 453959 561152 660304 771584 907918 1320608 1543168 1815836 2641216 3086336 3631672 5282432 5653853 6172672 7263344 10564864 11307706 14526688 21129728 22615412 29053376 42259456 45230824 58106752 62192383 84518912 90461648 116213504 124384766 169037824 180923296 232427008 248769532 361846592 464854016 497539064 723693184 929708032 995078128 1447386368 1859416064 1990156256 2894772736 3980312512 5789545472 7960625024 11579090944 15921250048 23158181888 31842500096 63685000192 127370000384 254740000768