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38383025000 = 23551790313
BaseRepresentation
bin100011101111110011…
…100111101101101000
310200001222102200210112
4203233303213231220
51112102023300000
625344413233452
72526111220655
oct435763475550
9120058380715
1038383025000
1115307242871
127532492888
133809085218
141c01938c2c
15ee9a83235
hex8efce7b68

38383025000 has 96 divisors (see below), whose sum is σ = 95246950680. Its totient is φ = 14449920000.

The previous prime is 38383024987. The next prime is 38383025039. The reversal of 38383025000 is 52038383.

It can be written as a sum of positive squares in 12 ways, for example, as 26829784804 + 11553240196 = 163798^2 + 107486^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379844 + ... + 470156.

Almost surely, 238383025000 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 38383025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47623475340).

38383025000 is an abundant number, since it is smaller than the sum of its proper divisors (56863925680).

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

38383025000 is an equidigital number, since it uses as much as digits as its factorization.

38383025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90361 (or 90337 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 38383025000 in words is "thirty-eight billion, three hundred eighty-three million, twenty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 625 680 850 1000 1250 1700 2125 2500 3125 3400 4250 5000 6250 8500 10625 12500 17000 21250 25000 42500 53125 85000 90313 106250 180626 212500 361252 425000 451565 722504 903130 1535321 1806260 2257825 3070642 3612520 4515650 6141284 7676605 9031300 11289125 12282568 15353210 18062600 22578250 30706420 38383025 45156500 56445625 61412840 76766050 90313000 112891250 153532100 191915125 225782500 282228125 307064200 383830250 451565000 564456250 767660500 959575625 1128912500 1535321000 1919151250 2257825000 3838302500 4797878125 7676605000 9595756250 19191512500 38383025000