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832512216340 = 225741081144751
BaseRepresentation
bin11000001110101011001…
…10000100110100010100
32221120212012121110022101
430013111212010310110
5102114441111410330
61434241214011444
7114101300036530
oct14072546046424
92846765543271
10832512216340
112a1080496082
1211541a7a6b84
136067595a4cc
142c4182c0bc0
15169c775b4ca
hexc1d5984d14

832512216340 has 48 divisors (see below), whose sum is σ = 1998091759104. Its totient is φ = 285423840000.

The previous prime is 832512216317. The next prime is 832512216343. The reversal of 832512216340 is 43612215238.

It is a self number, because there is not a number n which added to its sum of digits gives 832512216340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832512216343) by changing a digit.

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, 5678965 + ... + 5823715.

It is an arithmetic number, because the mean of its divisors is an integer number (41626911648).

Almost surely, 2832512216340 is an apocalyptic number.

It is an amenable number.

832512216340 is an abundant number, since it is smaller than the sum of its proper divisors (1165579542764).

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

832512216340 is a wasteful number, since it uses less digits than its factorization.

832512216340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185848 (or 185846 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 832512216340 in words is "eight hundred thirty-two billion, five hundred twelve million, two hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 41081 82162 144751 164324 205405 287567 289502 410810 575134 579004 723755 821620 1013257 1150268 1437835 1447510 2026514 2875670 2895020 4053028 5066285 5751340 10132570 20265140 5946515831 11893031662 23786063324 29732579155 41625610817 59465158310 83251221634 118930316620 166502443268 208128054085 416256108170 832512216340