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41992001856 = 263572947283
BaseRepresentation
bin100111000110111010…
…110001100101000000
311000101111100201100000
4213012322301211000
51141444423024411
631142454200000
73014413061250
oct470672614500
9130344321300
1041992001856
1116899432572
12817b053000
133c6298929c
142064d83960
15115b819956
hex9c6eb1940

41992001856 has 672 divisors, whose sum is σ = 151243223040. Its totient is φ = 11297470464.

The previous prime is 41992001851. The next prime is 41992001893. The reversal of 41992001856 is 65810029914.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41992001851) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148381491 + ... + 148381773.

It is an arithmetic number, because the mean of its divisors is an integer number (225064320).

Almost surely, 241992001856 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 41992001856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75621611520).

41992001856 is an abundant number, since it is smaller than the sum of its proper divisors (109251221184).

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

41992001856 is a wasteful number, since it uses less digits than its factorization.

41992001856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 41992001856 in words is "forty-one billion, nine hundred ninety-two million, one thousand, eight hundred fifty-six".