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3082894189152 = 2531092063142811
BaseRepresentation
bin101100110111001010110…
…100000010001001100000
3101220201111012022101120220
4230313022310002021200
5401002231403023102
610320132333403040
7435505664144661
oct54671264021140
911821435271526
103082894189152
11a894a2442a18
1241959b039480
1319493c44c87b
14a92da1b3368
15552d6d551bc
hex2cdcad02260

3082894189152 has 96 divisors (see below), whose sum is σ = 8170857192960. Its totient is φ = 1017702904320.

The previous prime is 3082894189099. The next prime is 3082894189171. The reversal of 3082894189152 is 2519814982803.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 21515827 + ... + 21658637.

It is an arithmetic number, because the mean of its divisors is an integer number (85113095760).

Almost surely, 23082894189152 is an apocalyptic number.

3082894189152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3082894189152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085428596480).

3082894189152 is an abundant number, since it is smaller than the sum of its proper divisors (5087963003808).

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

3082894189152 is a wasteful number, since it uses less digits than its factorization.

3082894189152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144996 (or 144988 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 3082894189152 in words is "three trillion, eighty-two billion, eight hundred ninety-four million, one hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 2063 2616 3488 4126 5232 6189 8252 10464 12378 16504 24756 33008 49512 66016 99024 142811 198048 224867 285622 428433 449734 571244 674601 856866 899468 1142488 1349202 1713732 1798936 2284976 2698404 3427464 3597872 4569952 5396808 6854928 7195744 10793616 13709856 15566399 21587232 31132798 46699197 62265596 93398394 124531192 186796788 249062384 294619093 373593576 498124768 589238186 747187152 883857279 1178476372 1494374304 1767714558 2356952744 3535429116 4713905488 7070858232 9427810976 14141716464 28283432928 32113481137 64226962274 96340443411 128453924548 192680886822 256907849096 385361773644 513815698192 770723547288 1027631396384 1541447094576 3082894189152