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412392445248 = 263737018933
BaseRepresentation
bin1100000000001001000…
…00010101010101000000
31110102110100010211000110
412000010200111111000
523224034431221443
6513241145151320
741536316643000
oct6000440252500
91412410124013
10412392445248
11149992869993
1267b1148b540
132cb71b9a894
1415d61d7a000
15aad9839233
hex6004815540

412392445248 has 224 divisors, whose sum is σ = 1274402937600. Its totient is φ = 117645158400.

The previous prime is 412392445237. The next prime is 412392445259. The reversal of 412392445248 is 842544293214.

It is an interprime number because it is at equal distance from previous prime (412392445237) and next prime (412392445259).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 412392445197 and 412392445206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46160590 + ... + 46169522.

Almost surely, 2412392445248 is an apocalyptic number.

412392445248 is a gapful number since it is divisible by the number (48) 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 412392445248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637201468800).

412392445248 is an abundant number, since it is smaller than the sum of its proper divisors (862010492352).

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

412392445248 is an equidigital number, since it uses as much as digits as its factorization.

412392445248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9670 (or 9646 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The spelling of 412392445248 in words is "four hundred twelve billion, three hundred ninety-two million, four hundred forty-five thousand, two hundred forty-eight".