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2010715171072 = 2831563450029
BaseRepresentation
bin11101010000100111111…
…101101010100100000000
321010020000012022221100221
4131100213331222210000
5230420421040433242
64135413152152424
7265161252645616
oct35204775524400
97106005287327
102010715171072
11705815327473
12285834538714
131177c047339a
146d4679b96b6
1537483a58167
hex1d427f6a900

2010715171072 has 72 divisors (see below), whose sum is σ = 4150414275840. Its totient is φ = 971196426240.

The previous prime is 2010715171061. The next prime is 2010715171109. The reversal of 2010715171072 is 2701715170102.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4242954 + ... + 4692982.

It is an arithmetic number, because the mean of its divisors is an integer number (57644642720).

Almost surely, 22010715171072 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 2010715171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075207137920).

2010715171072 is an abundant number, since it is smaller than the sum of its proper divisors (2139699104768).

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

2010715171072 is an equidigital number, since it uses as much as digits as its factorization.

2010715171072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450639 (or 450625 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 34.

The spelling of 2010715171072 in words is "two trillion, ten billion, seven hundred fifteen million, one hundred seventy-one thousand, seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 563 992 1126 1984 2252 3968 4504 7936 9008 17453 18016 34906 36032 69812 72064 139624 144128 279248 450029 558496 900058 1116992 1800116 2233984 3600232 4467968 7200464 13950899 14400928 27901798 28801856 55803596 57603712 111607192 115207424 223214384 253366327 446428768 506732654 892857536 1013465308 1785715072 2026930616 3571430144 4053861232 7854356137 8107722464 15708712274 16215444928 31417424548 32430889856 62834849096 64861779712 125669698192 251339396384 502678792768 1005357585536 2010715171072