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42133772576 = 257188097199
BaseRepresentation
bin100111001111010111…
…100101100100100000
311000202101010102012102
4213033113211210200
51142242221210301
631204520545532
73021054105050
oct471727454440
9130671112172
1042133772576
1116961463a55
1281ba6222a8
133c8616659c
142079b29560
151168ec0b6b
hex9cf5e5920

42133772576 has 24 divisors (see below), whose sum is σ = 94800988800. Its totient is φ = 18057331008.

The previous prime is 42133772557. The next prime is 42133772579. The reversal of 42133772576 is 67527733124.

42133772576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42133772576.

It is not an unprimeable number, because it can be changed into a prime (42133772579) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94048376 + ... + 94048823.

It is an arithmetic number, because the mean of its divisors is an integer number (3950041200).

Almost surely, 242133772576 is an apocalyptic number.

It is an amenable number.

42133772576 is an abundant number, since it is smaller than the sum of its proper divisors (52667216224).

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

42133772576 is a wasteful number, since it uses less digits than its factorization.

42133772576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188097216 (or 188097208 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 47.

The spelling of 42133772576 in words is "forty-two billion, one hundred thirty-three million, seven hundred seventy-two thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 188097199 376194398 752388796 1316680393 1504777592 2633360786 3009555184 5266721572 6019110368 10533443144 21066886288 42133772576