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38052854687232 = 2935721117291151
BaseRepresentation
bin10001010011011110111101…
…11000101110011000000000
311222201211001212111110200000
420221233132320232120000
514441424221244442412
6212533123510400000
711005141133005500
oct1051573670563000
9158654055443600
1038052854687232
1111141141487090
124326a94060000
1318304a433a068
14957aa7537a00
1545ec970224dc
hex229bdee2e600

38052854687232 has 2880 divisors, whose sum is σ = 158445298851840. Its totient is φ = 8973877248000.

The previous prime is 38052854687231. The next prime is 38052854687233. The reversal of 38052854687232 is 23278645825083.

38052854687232 is a `hidden beast` number, since 3 + 8 + 0 + 5 + 2 + 8 + 546 + 87 + 2 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (38052854687231) and next prime (38052854687233).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 38052854687232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38052854687231) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33060689857 + ... + 33060691007.

It is an arithmetic number, because the mean of its divisors is an integer number (55015728768).

Almost surely, 238052854687232 is an apocalyptic number.

38052854687232 is a gapful number since it is divisible by the number (32) 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 38052854687232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79222649425920).

38052854687232 is an abundant number, since it is smaller than the sum of its proper divisors (120392444164608).

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

38052854687232 is a wasteful number, since it uses less digits than its factorization.

38052854687232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 38052854687232 in words is "thirty-eight trillion, fifty-two billion, eight hundred fifty-four million, six hundred eighty-seven thousand, two hundred thirty-two".