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20769129768 = 23331233119809
BaseRepresentation
bin10011010101111011…
…111100010100101000
31222121102210002221110
4103111323330110220
5320013344123033
613312522310320
71333451455512
oct232573742450
958542702843
1020769129768
1188986a5662
1240376583a0
131c5cb3c6ca
1410104d6bb2
15818546363
hex4d5efc528

20769129768 has 64 divisors (see below), whose sum is σ = 53828236800. Its totient is φ = 6670909440.

The previous prime is 20769129763. The next prime is 20769129779. The reversal of 20769129768 is 86792196702.

It is not an unprimeable number, because it can be changed into a prime (20769129761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113448 + ... + 233256.

It is an arithmetic number, because the mean of its divisors is an integer number (841066200).

Almost surely, 220769129768 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 20769129768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26914118400).

20769129768 is an abundant number, since it is smaller than the sum of its proper divisors (33059107032).

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

20769129768 is a wasteful number, since it uses less digits than its factorization.

20769129768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120082 (or 120078 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 20769129768 in words is "twenty billion, seven hundred sixty-nine million, one hundred twenty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 233 248 372 466 699 744 932 1398 1864 2796 5592 7223 14446 21669 28892 43338 57784 86676 119809 173352 239618 359427 479236 718854 958472 1437708 2875416 3714079 7428158 11142237 14856316 22284474 27915497 29712632 44568948 55830994 83746491 89137896 111661988 167492982 223323976 334985964 669971928 865380407 1730760814 2596141221 3461521628 5192282442 6923043256 10384564884 20769129768