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421146925200 = 243252532207269
BaseRepresentation
bin1100010000011100101…
…00000001100010010000
31111021001110020110211200
412020032110001202100
523400002103101300
6521250000111200
742266261541111
oct6101624014220
91437043213750
10421146925200
11152675507291
1269755305500
1330938816631
1416552920208
15ae4d1b9200
hex620e501890

421146925200 has 180 divisors, whose sum is σ = 1489072901940. Its totient is φ = 110186818560.

The previous prime is 421146925183. The next prime is 421146925249. The reversal of 421146925200 is 2529641124.

It is a happy number.

421146925200 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 46 + 92 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9891495936 + 411255429264 = 99456^2 + 641292^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 912835 + ... + 1294434.

It is an arithmetic number, because the mean of its divisors is an integer number (8272627233).

Almost surely, 2421146925200 is an apocalyptic number.

421146925200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421146925200 is an abundant number, since it is smaller than the sum of its proper divisors (1067925976740).

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

421146925200 is a wasteful number, since it uses less digits than its factorization.

421146925200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207346 (or 2207332 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 421146925200 in words is "four hundred twenty-one billion, one hundred forty-six million, nine hundred twenty-five thousand, two hundred".