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38060605714608 = 243543593858593
BaseRepresentation
bin10001010011101101011001…
…11000100011000010110000
311222202120002001102110100000
420221312230320203002300
514442041110030331413
6212540444554030000
711005534201443111
oct1051665470430260
9158676061373300
1038060605714608
1111144459762734
124328497a18300
13183113b10a2a9
14958200b12208
1546009c73d073
hex229dace230b0

38060605714608 has 240 divisors, whose sum is σ = 114946589197440. Its totient is φ = 12181791025152.

The previous prime is 38060605714583. The next prime is 38060605714631. The reversal of 38060605714608 is 80641750606083.

38060605714608 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 0 + 6 + 0 + 571 + 4 + 60 + 8 = 666.

It is a super-2 number, since 2×380606057146082 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7934560 + ... + 11793152.

It is an arithmetic number, because the mean of its divisors is an integer number (478944121656).

Almost surely, 238060605714608 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 38060605714608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57473294598720).

38060605714608 is an abundant number, since it is smaller than the sum of its proper divisors (76885983482832).

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

38060605714608 is a wasteful number, since it uses less digits than its factorization.

38060605714608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858718 (or 3858700 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 38060605714608 in words is "thirty-eight trillion, sixty billion, six hundred five million, seven hundred fourteen thousand, six hundred eight".