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42919721856 = 2733113133607
BaseRepresentation
bin100111111110001101…
…101111101110000000
311002210011000202221000
4213332031233232000
51200344422044411
631414514332000
73046406421264
oct477615575600
9132704022830
1042919721856
1117225078310
12839988a000
13407cc39c2b
1421122780a4
1511b2ebe956
hex9fe36fb80

42919721856 has 256 divisors, whose sum is σ = 138668428800. Its totient is φ = 12960829440.

The previous prime is 42919721833. The next prime is 42919721863. The reversal of 42919721856 is 65812791924.

It is a happy number.

42919721856 is a `hidden beast` number, since 4 + 291 + 97 + 218 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11897205 + ... + 11900811.

It is an arithmetic number, because the mean of its divisors is an integer number (541673550).

Almost surely, 242919721856 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 42919721856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69334214400).

42919721856 is an abundant number, since it is smaller than the sum of its proper divisors (95748706944).

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

42919721856 is a wasteful number, since it uses less digits than its factorization.

42919721856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3936 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 42919721856 in words is "forty-two billion, nine hundred nineteen million, seven hundred twenty-one thousand, eight hundred fifty-six".