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6002630140000 = 25541379292241
BaseRepresentation
bin101011101011001100010…
…1000110010000001100000
3210020211211121121111200211
41113112120220302001200
51241321341303440000
620433323100023504
71156450525222624
oct127263050620140
923224747544624
106002630140000
111a0477925357a
1280b424831b94
13347079226660
1416a759239184
15a621ed1d7ba
hex57598a32060

6002630140000 has 240 divisors, whose sum is σ = 16104685101120. Its totient is φ = 2188293120000.

The previous prime is 6002630139973. The next prime is 6002630140051. The reversal of 6002630140000 is 410362006.

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 39 ways as a sum of consecutive naturals, for example, 20393880 + ... + 20686120.

It is an arithmetic number, because the mean of its divisors is an integer number (67102854588).

Almost surely, 26002630140000 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 6002630140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8052342550560).

6002630140000 is an abundant number, since it is smaller than the sum of its proper divisors (10102054961120).

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

6002630140000 is a wasteful number, since it uses less digits than its factorization.

6002630140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292363 (or 292340 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The spelling of 6002630140000 in words is "six trillion, two billion, six hundred thirty million, one hundred forty thousand".