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38146079608 = 23713241217421
BaseRepresentation
bin100011100001101011…
…101111101101111000
310122110110120121211021
4203201223233231320
51111110344021413
625305110512224
72520203220040
oct434153575570
9118413517737
1038146079608
11151a551622a
127487065674
13379bc63850
141bbc29a720
15ed3d7c18d
hex8e1aefb78

38146079608 has 64 divisors (see below), whose sum is σ = 88395088320. Its totient is φ = 15028070400.

The previous prime is 38146079599. The next prime is 38146079611. The reversal of 38146079608 is 80697064183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66738 + ... + 284158.

It is an arithmetic number, because the mean of its divisors is an integer number (1381173255).

Almost surely, 238146079608 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 38146079608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44197544160).

38146079608 is an abundant number, since it is smaller than the sum of its proper divisors (50249008712).

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

38146079608 is a wasteful number, since it uses less digits than its factorization.

38146079608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217688 (or 217684 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 38146079608 in words is "thirty-eight billion, one hundred forty-six million, seventy-nine thousand, six hundred eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 241 364 482 728 964 1687 1928 3133 3374 6266 6748 12532 13496 21931 25064 43862 87724 175448 217421 434842 869684 1521947 1739368 2826473 3043894 5652946 6087788 11305892 12175576 19785311 22611784 39570622 52398461 79141244 104796922 158282488 209593844 366789227 419187688 681179993 733578454 1362359986 1467156908 2724719972 2934313816 4768259951 5449439944 9536519902 19073039804 38146079608