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14113532672 = 2873829911
BaseRepresentation
bin11010010010011101…
…10110101100000000
31100102121002202010022
431021032312230000
5212401031021142
610252245553012
71006514022401
oct151116665400
940377082108
1014113532672
115a927a2a98
12289a715768
13143bcb0185
1497c5cb9a8
155790ac6d2
hex3493b6b00

14113532672 has 72 divisors (see below), whose sum is σ = 28623685440. Its totient is φ = 6944071680.

The previous prime is 14113532621. The next prime is 14113532683. The reversal of 14113532672 is 27623531141.

It is a super-2 number, since 2×141135326722 (a number of 21 digits) contains 22 as substring.

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, 15491897 + ... + 15492807.

Almost surely, 214113532672 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 14113532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14311842720).

14113532672 is an abundant number, since it is smaller than the sum of its proper divisors (14510152768).

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

14113532672 is an frugal number, since it uses more digits than its factorization.

14113532672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1815 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The spelling of 14113532672 in words is "fourteen billion, one hundred thirteen million, five hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 829 911 1168 1658 1822 2336 3316 3644 4672 6632 7288 9344 13264 14576 18688 26528 29152 53056 58304 60517 66503 106112 116608 121034 133006 212224 233216 242068 266012 484136 532024 755219 968272 1064048 1510438 1936544 2128096 3020876 3873088 4256192 6041752 7746176 8512384 12083504 15492352 17024768 24167008 48334016 55130987 96668032 110261974 193336064 220523948 441047896 882095792 1764191584 3528383168 7056766336 14113532672