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242955428352 = 2937313191867
BaseRepresentation
bin1110001001000101000…
…1011010001000000000
3212020002222111112112020
43202101101122020000
512440033042201402
6303340122001440
723360443032000
oct3422121321000
9766088445466
10242955428352
119404500730a
123b105346280
1319bab77b5c0
14ba8adb2000
1564be6488bc
hex389145a200

242955428352 has 640 divisors, whose sum is σ = 856111872000. Its totient is φ = 60671213568.

The previous prime is 242955428347. The next prime is 242955428357. The reversal of 242955428352 is 253824559242.

It is an interprime number because it is at equal distance from previous prime (242955428347) and next prime (242955428357).

It is a junction number, because it is equal to n+sod(n) for n = 242955428295 and 242955428304.

It is not an unprimeable number, because it can be changed into a prime (242955428357) 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, 130130523 + ... + 130132389.

It is an arithmetic number, because the mean of its divisors is an integer number (1337674800).

Almost surely, 2242955428352 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 242955428352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428055936000).

242955428352 is an abundant number, since it is smaller than the sum of its proper divisors (613156443648).

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

242955428352 is a wasteful number, since it uses less digits than its factorization.

242955428352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1911 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 51.

The spelling of 242955428352 in words is "two hundred forty-two billion, nine hundred fifty-five million, four hundred twenty-eight thousand, three hundred fifty-two".