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42457426704 = 2432721122232
BaseRepresentation
bin100111100010101010…
…001110101100010000
311001120221010202012100
4213202222032230100
51143423100123304
631301002000400
73032064113100
oct474252165420
9131527122170
1042457426704
1117008124100
12828aaa6100
134008226ac4
1420aaad9200
151187603439
hex9e2a8eb10

42457426704 has 405 divisors, whose sum is σ = 152613558279. Its totient is φ = 10978450560.

The previous prime is 42457426691. The next prime is 42457426717. The reversal of 42457426704 is 40762475424.

The square root of 42457426704 is 206052.

It is a perfect power (a square), and thus also a powerful number.

42457426704 is a `hidden beast` number, since 4 + 2 + 4 + 574 + 2 + 6 + 70 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (42457426691) and next prime (42457426717).

It is a self number, because there is not a number n which added to its sum of digits gives 42457426704.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 190391937 + ... + 190392159.

Almost surely, 242457426704 is an apocalyptic number.

42457426704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

42457426704 is the 206052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42457426704

42457426704 is an abundant number, since it is smaller than the sum of its proper divisors (110156131575).

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

42457426704 is a wasteful number, since it uses less digits than its factorization.

42457426704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 42457426704 in words is "forty-two billion, four hundred fifty-seven million, four hundred twenty-six thousand, seven hundred four".