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41977954304 = 2141113192341
BaseRepresentation
bin100111000110000101…
…001100000000000000
311000100111221000201022
4213012011030000000
51141432324014204
631141233125012
73014152503266
oct470605140000
9130314830638
1041977954304
1116891508420
1281763b9768
133c5caab320
142063168436
15115a4925be
hex9c614c000

41977954304 has 480 divisors, whose sum is σ = 110977896960. Its totient is φ = 15571353600.

The previous prime is 41977954301. The next prime is 41977954321. The reversal of 41977954304 is 40345977914.

It is not an unprimeable number, because it can be changed into a prime (41977954301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023852524 + ... + 1023852564.

It is an arithmetic number, because the mean of its divisors is an integer number (231203952).

Almost surely, 241977954304 is an apocalyptic number.

41977954304 is a gapful number since it is divisible by the number (44) 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 41977954304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55488948480).

41977954304 is an abundant number, since it is smaller than the sum of its proper divisors (68999942656).

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

41977954304 is a wasteful number, since it uses less digits than its factorization.

41977954304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 53.

The spelling of 41977954304 in words is "forty-one billion, nine hundred seventy-seven million, nine hundred fifty-four thousand, three hundred four".