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38307256064 = 2872112271223
BaseRepresentation
bin100011101011010010…
…100101011100000000
310122212200212020100122
4203223102211130000
51111423124143224
625333105235412
72524201206200
oct435322453400
9118780766318
1038307256064
11152784a1510
127511032b68
1337c647692c
141bd5854400
15ee30b815e
hex8eb4a5700

38307256064 has 216 divisors, whose sum is σ = 97542361728. Its totient is φ = 14847006720.

The previous prime is 38307256061. The next prime is 38307256069. The reversal of 38307256064 is 46065270383.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38307256061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31321757 + ... + 31322979.

It is an arithmetic number, because the mean of its divisors is an integer number (451585008).

Almost surely, 238307256064 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 38307256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48771180864).

38307256064 is an abundant number, since it is smaller than the sum of its proper divisors (59235105664).

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

38307256064 is a wasteful number, since it uses less digits than its factorization.

38307256064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 38307256064 in words is "thirty-eight billion, three hundred seven million, two hundred fifty-six thousand, sixty-four".