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38721078140008 = 231121727739721397
BaseRepresentation
bin10001100110111011101000…
…00110111001110001101000
312002002200212111211000101111
420303131310012321301220
520033401232000440013
6214204115010200104
711104335261435265
oct1063356406716150
9162080774730344
1038721078140008
1111379576176500
1244144a2883034
13187b4c7343a24
1497c1784a426c
1547235652b73d
hex2337741b9c68

38721078140008 has 192 divisors, whose sum is σ = 85019090803920. Its totient is φ = 16463020400640.

The previous prime is 38721078139979. The next prime is 38721078140009. The reversal of 38721078140008 is 80004187012783.

38721078140008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 32894560802884 + 5826517337124 = 5735378^2 + 2413818^2 .

It is not an unprimeable number, because it can be changed into a prime (38721078140009) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1809639166 + ... + 1809660562.

Almost surely, 238721078140008 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 38721078140008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42509545401960).

38721078140008 is an abundant number, since it is smaller than the sum of its proper divisors (46298012663912).

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

38721078140008 is a wasteful number, since it uses less digits than its factorization.

38721078140008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22116 (or 22101 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 49.

The spelling of 38721078140008 in words is "thirty-eight trillion, seven hundred twenty-one billion, seventy-eight million, one hundred forty thousand, eight".