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42724876381 = 1147251329243
BaseRepresentation
bin100111110010100110…
…011110000001011101
311002021120101121011221
4213302212132001131
51200000032021011
631343314213341
73041522312545
oct476246360135
9132246347157
1042724876381
1117135095aa0
128344584251
13404b768b55
1420d4438325
1511a0d32971
hex9f299e05d

42724876381 has 16 divisors (see below), whose sum is σ = 47790425088. Its totient is φ = 37862830000.

The previous prime is 42724876309. The next prime is 42724876409. The reversal of 42724876381 is 18367842724.

It is a cyclic number.

It is not a de Polignac number, because 42724876381 - 27 = 42724876253 is a prime.

It is a super-2 number, since 2×427248763812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42724871381) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34855 + ... + 294388.

It is an arithmetic number, because the mean of its divisors is an integer number (2986901568).

Almost surely, 242724876381 is an apocalyptic number.

It is an amenable number.

42724876381 is a deficient number, since it is larger than the sum of its proper divisors (5065548707).

42724876381 is a wasteful number, since it uses less digits than its factorization.

42724876381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329552.

The product of its digits is 3612672, while the sum is 52.

The spelling of 42724876381 in words is "forty-two billion, seven hundred twenty-four million, eight hundred seventy-six thousand, three hundred eighty-one".

Divisors: 1 11 47 251 517 2761 11797 129767 329243 3621673 15474421 82639993 170218631 909039923 3884079671 42724876381