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42767794260 = 22345192276121
BaseRepresentation
bin100111110101001010…
…001100000001010100
311002101120011001110000
4213311022030001110
51200042023404020
631351450131300
73042553152552
oct476512140124
9132346131400
1042767794260
1117157339914
128356a20b30
134057614849
1420da00abd2
1511a49ae090
hex9f528c054

42767794260 has 240 divisors, whose sum is σ = 141870738240. Its totient is φ = 10755141120.

The previous prime is 42767794259. The next prime is 42767794301. The reversal of 42767794260 is 6249776724.

42767794260 is a `hidden beast` number, since 427 + 6 + 77 + 94 + 2 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42767794197 and 42767794206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6984000 + ... + 6990120.

It is an arithmetic number, because the mean of its divisors is an integer number (591128076).

Almost surely, 242767794260 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 42767794260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70935369120).

42767794260 is an abundant number, since it is smaller than the sum of its proper divisors (99102943980).

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

42767794260 is a wasteful number, since it uses less digits than its factorization.

42767794260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 42767794260 in words is "forty-two billion, seven hundred sixty-seven million, seven hundred ninety-four thousand, two hundred sixty".