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53052802768 = 2471722956519
BaseRepresentation
bin110001011010001100…
…011000011011010000
312001221100012121202001
4301122030120123100
51332123004142033
640212213403344
73555461245240
oct613214303320
9161840177661
1053052802768
1120554a18a49
12a347339554
1350063812b4
1427d3d5db20
1515a78b8e7d
hexc5a3186d0

53052802768 has 120 divisors (see below), whose sum is σ = 129096201600. Its totient is φ = 20661172224.

The previous prime is 53052802757. The next prime is 53052802769. The reversal of 53052802768 is 86720825035.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53052802769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 910413 + ... + 966931.

It is an arithmetic number, because the mean of its divisors is an integer number (1075801680).

Almost surely, 253052802768 is an apocalyptic number.

53052802768 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53052802768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64548100800).

53052802768 is an abundant number, since it is smaller than the sum of its proper divisors (76043398832).

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

53052802768 is a wasteful number, since it uses less digits than its factorization.

53052802768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56597 (or 56574 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 53052802768 in words is "fifty-three billion, fifty-two million, eight hundred two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 112 116 119 136 203 232 238 272 289 406 464 476 493 578 812 952 986 1156 1624 1904 1972 2023 2312 3248 3451 3944 4046 4624 6902 7888 8092 8381 13804 16184 16762 27608 32368 33524 55216 56519 58667 67048 113038 117334 134096 226076 234668 395633 452152 469336 791266 904304 938672 960823 1582532 1639051 1921646 3165064 3278102 3843292 6330128 6556204 6725761 7686584 11473357 13112408 13451522 15373168 16333991 22946714 26224816 26903044 27863867 32667982 45893428 53806088 55727734 65335964 91786856 107612176 111455468 114337937 130671928 183573712 195047069 222910936 228675874 261343856 390094138 445821872 457351748 473685739 780188276 914703496 947371478 1560376552 1829406992 1894742956 3120753104 3315800173 3789485912 6631600346 7578971824 13263200692 26526401384 53052802768