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42719160287232 = 2143211132025929
BaseRepresentation
bin10011011011010010101000…
…10111111100000000000000
312121020220121201201200220100
421231221110113330000000
521044402320013142412
6230504524502042400
711666233421115042
oct1155512427740000
9177226551650810
1042719160287232
1112680104328980
12495b314419400
131aab5269c7920
14a79892c0da92
154e1353e4dedc
hex26da545fc000

42719160287232 has 360 divisors, whose sum is σ = 144981887909040. Its totient is φ = 11949409566720.

The previous prime is 42719160287173. The next prime is 42719160287299. The reversal of 42719160287232 is 23278206191724.

42719160287232 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 9 + 1 + 602 + 8 + 7 + 23 + 2 = 666.

It is a super-2 number, since 2×427191602872322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20073244 + ... + 22099172.

It is an arithmetic number, because the mean of its divisors is an integer number (402727466414).

Almost surely, 242719160287232 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 42719160287232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72490943954520).

42719160287232 is an abundant number, since it is smaller than the sum of its proper divisors (102262727621808).

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

42719160287232 is a wasteful number, since it uses less digits than its factorization.

42719160287232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025987 (or 2025958 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 42719160287232 in words is "forty-two trillion, seven hundred nineteen billion, one hundred sixty million, two hundred eighty-seven thousand, two hundred thirty-two".