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213233757684 = 223293723776967
BaseRepresentation
bin1100011010010110111…
…0001110110111110100
3202101101121221020012220
43012211232032313310
511443200320221214
6241542551242340
721256063014633
oct3064556166764
9671347836186
10213233757684
1182482996222
12353ab6793b0
1317152c6761c
14a46b8d951a
15583019c9a9
hex31a5b8edf4

213233757684 has 96 divisors (see below), whose sum is σ = 528911335680. Its totient is φ = 66734502912.

The previous prime is 213233757683. The next prime is 213233757743. The reversal of 213233757684 is 486757332312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213233757683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30602769 + ... + 30609735.

It is an arithmetic number, because the mean of its divisors is an integer number (5509493080).

Almost surely, 2213233757684 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 213233757684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264455667840).

213233757684 is an abundant number, since it is smaller than the sum of its proper divisors (315677577996).

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

213233757684 is a wasteful number, since it uses less digits than its factorization.

213233757684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9417 (or 9415 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 51.

The spelling of 213233757684 in words is "two hundred thirteen billion, two hundred thirty-three million, seven hundred fifty-seven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 348 444 1073 2146 2377 3219 4292 4754 6438 6967 7131 9508 12876 13934 14262 20901 27868 28524 41802 68933 83604 87949 137866 175898 202043 206799 257779 263847 275732 351796 404086 413598 515558 527694 606129 773337 808172 827196 1031116 1055388 1212258 1546674 2424516 2550521 3093348 5101042 7475591 7651563 10202084 14951182 15303126 16560559 22426773 29902364 30606252 33121118 44853546 49681677 66242236 89707092 99363354 198726708 480256211 612740683 960512422 1225481366 1440768633 1838222049 1921024844 2450962732 2881537266 3676444098 5763074532 7352888196 17769479807 35538959614 53308439421 71077919228 106616878842 213233757684