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40222253770608 = 2437132910714891993
BaseRepresentation
bin10010010010100111110010…
…01001011110011101110000
312021102012200000121101010010
421021103321021132131300
520233000133431124413
6221313503121534520
711320650641654310
oct1111237111363560
9167365600541103
1040222253770608
11118a8186730528
1246174134a4440
131959c3319b630
149d0aa5d19440
1549b416beadc3
hex2494f925e770

40222253770608 has 640 divisors, whose sum is σ = 133689143347200. Its totient is φ = 10134647341056.

The previous prime is 40222253770571. The next prime is 40222253770619. The reversal of 40222253770608 is 80607735222204.

40222253770608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20181762060 + ... + 20181764052.

It is an arithmetic number, because the mean of its divisors is an integer number (208889286480).

Almost surely, 240222253770608 is an apocalyptic number.

40222253770608 is a gapful number since it is divisible by the number (48) 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 40222253770608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66844571673600).

40222253770608 is an abundant number, since it is smaller than the sum of its proper divisors (93466889576592).

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

40222253770608 is a wasteful number, since it uses less digits than its factorization.

40222253770608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 40222253770608 in words is "forty trillion, two hundred twenty-two billion, two hundred fifty-three million, seven hundred seventy thousand, six hundred eight".