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683212242212352 = 29331719251609601
BaseRepresentation
bin1001101101011000001011111…
…1000000001101011000000000
310022121001110012212011222112000
42123112002333000031120000
51204022222133001243402
610421023212055504000
7263623312160604036
oct23326027700153000
93277043185158460
10683212242212352
11188768759471326
1264763139688000
132342b83a899528
14c09d912a68556
1553ebdb9436c1c
hex26d60bf00d600

683212242212352 has 640 divisors, whose sum is σ = 2263002583564800. Its totient is φ = 202250649600000.

The previous prime is 683212242212351. The next prime is 683212242212441. The reversal of 683212242212352 is 253212242212386.

683212242212352 is a `hidden beast` number, since 6 + 8 + 3 + 21 + 22 + 42 + 212 + 352 = 666.

It is a super-2 number, since 2×6832122422123522 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 683212242212298 and 683212242212307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683212242212351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1120448352 + ... + 1121057952.

It is an arithmetic number, because the mean of its divisors is an integer number (3535941536820).

Almost surely, 2683212242212352 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 683212242212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131501291782400).

683212242212352 is an abundant number, since it is smaller than the sum of its proper divisors (1579790341352448).

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

683212242212352 is a wasteful number, since it uses less digits than its factorization.

683212242212352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609915 (or 609893 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 683212242212352 in words is "six hundred eighty-three trillion, two hundred twelve billion, two hundred forty-two million, two hundred twelve thousand, three hundred fifty-two".