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423275252400 = 2434527111331421
BaseRepresentation
bin1100010100011010010…
…10111100101010110000
31111110112210001200220000
412022031022330222300
523413331431034100
6522241105350000
742403104165510
oct6121512745260
91443483050800
10423275252400
11153567932a90
126a04a038300
1330bb7741c40
14166b5461840
15b024e79900
hex628d2bcab0

423275252400 has 2400 divisors, whose sum is σ = 2110427590656. Its totient is φ = 78382080000.

The previous prime is 423275252399. The next prime is 423275252423. The reversal of 423275252400 is 4252572324.

423275252400 is a `hidden beast` number, since 42 + 327 + 5 + 252 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1005404190 + ... + 1005404610.

Almost surely, 2423275252400 is an apocalyptic number.

423275252400 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 423275252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055213795328).

423275252400 is an abundant number, since it is smaller than the sum of its proper divisors (1687152338256).

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

423275252400 is a wasteful number, since it uses less digits than its factorization.

423275252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 423275252400 in words is "four hundred twenty-three billion, two hundred seventy-five million, two hundred fifty-two thousand, four hundred".