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41457401856 = 214371389
BaseRepresentation
bin100110100111000011…
…011100000000000000
310222000020102020000000
4212213003130000000
51134401043324411
631013440000000
72665232046543
oct464703340000
9128006366000
1041457401856
1116644693692
128050000000
133ba8cab520
142013d8285a
151129919956
hex9a70dc000

41457401856 has 480 divisors, whose sum is σ = 135419457600. Its totient is φ = 12612796416.

The previous prime is 41457401831. The next prime is 41457401891. The reversal of 41457401856 is 65810475414.

41457401856 is a `hidden beast` number, since 4 + 14 + 574 + 0 + 18 + 56 = 666.

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, 465813460 + ... + 465813548.

It is an arithmetic number, because the mean of its divisors is an integer number (282123870).

Almost surely, 241457401856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41457401856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67709728800).

41457401856 is an abundant number, since it is smaller than the sum of its proper divisors (93962055744).

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

41457401856 is an frugal number, since it uses more digits than its factorization.

41457401856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 41457401856 in words is "forty-one billion, four hundred fifty-seven million, four hundred one thousand, eight hundred fifty-six".