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42937203064320 = 293452359331461
BaseRepresentation
bin10011100001101000110001…
…01111000111111000000000
312122000202102111200102120000
421300310120233013320000
521111440342441024240
6231153025003320000
712021052630126515
oct1160643057077000
9178022374612500
1042937203064320
11127546248395a4
124995626520000
131ac5c65073c56
14a8625929530c
154e6d663cb430
hex270d18bc7e00

42937203064320 has 1600 divisors, whose sum is σ = 164041905646080. Its totient is φ = 10710658252800.

The previous prime is 42937203064313. The next prime is 42937203064339. The reversal of 42937203064320 is 2346030273924.

42937203064320 is a `hidden beast` number, since 4 + 2 + 9 + 3 + 7 + 203 + 0 + 6 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 93139268890 + ... + 93139269350.

Almost surely, 242937203064320 is an apocalyptic number.

42937203064320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42937203064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82020952823040).

42937203064320 is an abundant number, since it is smaller than the sum of its proper divisors (121104702581760).

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

42937203064320 is a wasteful number, since it uses less digits than its factorization.

42937203064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 42937203064320 in words is "forty-two trillion, nine hundred thirty-seven billion, two hundred three million, sixty-four thousand, three hundred twenty".