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412484916480 = 28357213168631
BaseRepresentation
bin1100000000010100000…
…01000101010100000000
31110102200210010211200220
412000022001011110000
523224232114311410
6513254251143040
741541521640300
oct6001201052400
91412623124626
10412484916480
11149a2aa8899a
1267b38444a80
132cb880a65a0
1415d7036b600
15aae2a03070
hex600a045500

412484916480 has 432 divisors, whose sum is σ = 1650346072704. Its totient is φ = 87029268480.

The previous prime is 412484916463. The next prime is 412484916509. The reversal of 412484916480 is 84619484214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2361765 + ... + 2530395.

Almost surely, 2412484916480 is an apocalyptic number.

412484916480 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 412484916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825173036352).

412484916480 is an abundant number, since it is smaller than the sum of its proper divisors (1237861156224).

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

412484916480 is a wasteful number, since it uses less digits than its factorization.

412484916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168682 (or 168661 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 412484916480 in words is "four hundred twelve billion, four hundred eighty-four million, nine hundred sixteen thousand, four hundred eighty".