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423871472640 = 21035711443809
BaseRepresentation
bin1100010101100001011…
…01010110010000000000
31111112002022221211022010
412022300231112100000
523421042044111030
6522420204412520
742423634033110
oct6126055262000
91445068854263
10423871472640
1115384343a090
126a195847140
1330c81116295
1416730703040
15b05c49c6b0
hex62b0b56400

423871472640 has 704 divisors, whose sum is σ = 1696165816320. Its totient is φ = 87769743360.

The previous prime is 423871472621. The next prime is 423871472657. The reversal of 423871472640 is 46274178324.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 423871472640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 523944556 + ... + 523945364.

Almost surely, 2423871472640 is an apocalyptic number.

423871472640 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 423871472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848082908160).

423871472640 is an abundant number, since it is smaller than the sum of its proper divisors (1272294343680).

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

423871472640 is a wasteful number, since it uses less digits than its factorization.

423871472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 423871472640 in words is "four hundred twenty-three billion, eight hundred seventy-one million, four hundred seventy-two thousand, six hundred forty".