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2148002214008 = 237144072662399
BaseRepresentation
bin11111010000011110111…
…010001011000001111000
321121100100222010022122212
4133100132322023001320
5240143102031322013
64322440102034252
7311121332365250
oct37203672130170
97540328108585
102148002214008
11758a65284832
122a8369718988
1312772bc63131
1475d6cba0960
153ad1b4d56a8
hex1f41ee8b078

2148002214008 has 32 divisors (see below), whose sum is σ = 4603183104000. Its totient is φ = 920508134112.

The previous prime is 2148002213977. The next prime is 2148002214011. The reversal of 2148002214008 is 8004122008412.

It is a super-2 number, since 2×21480022140082 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524408 + ... + 2137991.

It is an arithmetic number, because the mean of its divisors is an integer number (143849472000).

Almost surely, 22148002214008 is an apocalyptic number.

2148002214008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2148002214008 is an abundant number, since it is smaller than the sum of its proper divisors (2455180889992).

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

2148002214008 is a wasteful number, since it uses less digits than its factorization.

2148002214008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676819 (or 2676815 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 2148002214008 in words is "two trillion, one hundred forty-eight billion, two million, two hundred fourteen thousand, eight".

Divisors: 1 2 4 7 8 14 28 56 14407 28814 57628 100849 115256 201698 403396 806792 2662399 5324798 10649596 18636793 21299192 37273586 74547172 149094344 38357182393 76714364786 153428729572 268500276751 306857459144 537000553502 1074001107004 2148002214008