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20073456256 = 27771973253
BaseRepresentation
bin10010101100011110…
…001010001010000000
31220210221202020021211
4102230132022022000
5312102301100011
613115511455504
71310303364040
oct225436121200
956727666254
1020073456256
118570a40877
123a82687594
131b7b986689
14d85d67720
157c742ab21
hex4ac78a280

20073456256 has 128 divisors (see below), whose sum is σ = 46838856960. Its totient is φ = 8391720960.

The previous prime is 20073456239. The next prime is 20073456283. The reversal of 20073456256 is 65265437002.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6169126 + ... + 6172378.

It is an arithmetic number, because the mean of its divisors is an integer number (365928570).

Almost surely, 220073456256 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 20073456256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23419428480).

20073456256 is an abundant number, since it is smaller than the sum of its proper divisors (26765400704).

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

20073456256 is an equidigital number, since it uses as much as digits as its factorization.

20073456256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 20073456256 in words is "twenty billion, seventy-three million, four hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 97 112 128 142 194 224 284 388 448 497 568 679 776 896 994 1136 1358 1552 1988 2272 2716 3104 3253 3976 4544 5432 6208 6506 6887 7952 9088 10864 12416 13012 13774 15904 21728 22771 26024 27548 31808 43456 45542 48209 52048 55096 63616 86912 91084 96418 104096 110192 182168 192836 208192 220384 230963 315541 364336 385672 416384 440768 461926 631082 728672 771344 881536 923852 1262164 1457344 1542688 1616741 1847704 2208787 2524328 2914688 3085376 3233482 3695408 4417574 5048656 6170752 6466964 7390816 8835148 10097312 12933928 14781632 17670296 20194624 22403411 25867856 29563264 35340592 40389248 44806822 51735712 70681184 89613644 103471424 141362368 156823877 179227288 206942848 282724736 313647754 358454576 627295508 716909152 1254591016 1433818304 2509182032 2867636608 5018364064 10036728128 20073456256