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42649782930 = 2355294779163
BaseRepresentation
bin100111101110001000…
…000000101010010010
311002002100002110100000
4213232020000222102
51144321321023210
631332032510430
73036621113316
oct475610005222
9132070073300
1042649782930
11170a6766197
1283233ab416
134039035b61
1420c848bb46
15119944cac0
hex9ee200a92

42649782930 has 384 divisors, whose sum is σ = 123785625600. Its totient is φ = 10546308864.

The previous prime is 42649782881. The next prime is 42649782941. The reversal of 42649782930 is 3928794624.

42649782930 is a `hidden beast` number, since 4 + 264 + 97 + 8 + 293 + 0 = 666.

It is a super-2 number, since 2×426497829302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 261655029 + ... + 261655191.

It is an arithmetic number, because the mean of its divisors is an integer number (322358400).

Almost surely, 242649782930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42649782930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61892812800).

42649782930 is an abundant number, since it is smaller than the sum of its proper divisors (81135842670).

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

42649782930 is a wasteful number, since it uses less digits than its factorization.

42649782930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 42649782930 in words is "forty-two billion, six hundred forty-nine million, seven hundred eighty-two thousand, nine hundred thirty".