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2010319457808 = 243319717218093
BaseRepresentation
bin11101010000010000011…
…000001000111000010000
321010011222121201121211010
4131100100120020320100
5230414113240122213
64135310014450520
7265145406306624
oct35202030107020
97104877647733
102010319457808
11705631a1a212
12285743b03a40
131177594a301c
146d42b20d184
153745de3eac3
hex1d410608e10

2010319457808 has 160 divisors (see below), whose sum is σ = 5419935101952. Its totient is φ = 641352499200.

The previous prime is 2010319457779. The next prime is 2010319457813. The reversal of 2010319457808 is 8087549130102.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 248398210 + ... + 248406302.

Almost surely, 22010319457808 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 2010319457808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709967550976).

2010319457808 is an abundant number, since it is smaller than the sum of its proper divisors (3409615644144).

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

2010319457808 is a wasteful number, since it uses less digits than its factorization.

2010319457808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9953 (or 9947 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 2010319457808 in words is "two trillion, ten billion, three hundred nineteen million, four hundred fifty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 97 124 186 194 248 291 372 388 496 582 744 776 1164 1488 1552 1721 2328 3007 3442 4656 5163 6014 6884 8093 9021 10326 12028 13768 16186 18042 20652 24056 24279 27536 32372 36084 41304 48112 48558 53351 64744 72168 82608 97116 106702 129488 144336 160053 166937 194232 213404 250883 320106 333874 388464 426808 500811 501766 640212 667748 752649 785021 853616 1001622 1003532 1280424 1335496 1505298 1570042 2003244 2007064 2355063 2560848 2670992 3010596 3140084 4006488 4014128 4710126 5175047 6021192 6280168 8012976 9420252 10350094 12042384 12560336 13928053 15525141 18840504 20700188 24335651 27856106 31050282 37681008 41400376 41784159 48671302 55712212 62100564 73006953 82800752 83568318 97342604 111424424 124201128 146013906 167136636 194685208 222848848 248402256 292027812 334273272 389370416 431769643 584055624 668546544 863539286 1168111248 1295308929 1351021141 1727078572 2590617858 2702042282 3454157144 4053063423 5181235716 5404084564 6908314288 8106126846 10362471432 10808169128 16212253692 20724942864 21616338256 32424507384 41881655371 64849014768 83763310742 125644966113 167526621484 251289932226 335053242968 502579864452 670106485936 1005159728904 2010319457808