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1005052835000 = 23541711824151
BaseRepresentation
bin11101010000000011101…
…00010011010010111000
310120002012212020001001002
432220001310103102320
5112431322011210000
62045414230144132
7132420101066264
oct16500164232270
93502185201032
101005052835000
1135827113a695
121429521b2048
1373a12066036
143690553d0a4
151b2251578d5
hexea01d134b8

1005052835000 has 80 divisors (see below), whose sum is σ = 2493358932240. Its totient is φ = 378372800000.

The previous prime is 1005052834993. The next prime is 1005052835011. The reversal of 1005052835000 is 5382505001.

It is a super-2 number, since 2×10050528350002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5827076 + ... + 5997075.

It is an arithmetic number, because the mean of its divisors is an integer number (31166986653).

Almost surely, 21005052835000 is an apocalyptic number.

1005052835000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005052835000 is an abundant number, since it is smaller than the sum of its proper divisors (1488306097240).

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

1005052835000 is a wasteful number, since it uses less digits than its factorization.

1005052835000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11824194 (or 11824175 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The spelling of 1005052835000 in words is "one trillion, five billion, fifty-two million, eight hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 625 680 850 1000 1250 1700 2125 2500 3400 4250 5000 8500 10625 17000 21250 42500 85000 11824151 23648302 47296604 59120755 94593208 118241510 201010567 236483020 295603775 402021134 472966040 591207550 804042268 1005052835 1182415100 1478018875 1608084536 2010105670 2364830200 2956037750 4020211340 5025264175 5912075500 7390094375 8040422680 10050528350 11824151000 14780188750 20101056700 25126320875 29560377500 40202113400 50252641750 59120755000 100505283500 125631604375 201010567000 251263208750 502526417500 1005052835000