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38417153852 = 2273116737993
BaseRepresentation
bin100011110001110101…
…110011111100111100
310200011100122121210002
4203301311303330330
51112134242410402
625352032533432
72530004264000
oct436165637474
9120140577702
1038417153852
1115324533330
1275419b1278
1338131745cc
141c062a0700
15eeca75602
hex8f1d73f3c

38417153852 has 96 divisors (see below), whose sum is σ = 86808691200. Its totient is φ = 14743935360.

The previous prime is 38417153849. The next prime is 38417153881. The reversal of 38417153852 is 25835171483.

It is a junction number, because it is equal to n+sod(n) for n = 38417153797 and 38417153806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 992168 + ... + 1030160.

It is an arithmetic number, because the mean of its divisors is an integer number (904257200).

Almost surely, 238417153852 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 38417153852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43404345600).

38417153852 is an abundant number, since it is smaller than the sum of its proper divisors (48391537348).

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

38417153852 is a wasteful number, since it uses less digits than its factorization.

38417153852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38096 (or 38080 counting only the distinct ones).

The product of its digits is 806400, while the sum is 47.

The spelling of 38417153852 in words is "thirty-eight billion, four hundred seventeen million, one hundred fifty-three thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 67 77 98 134 154 196 268 308 343 469 539 686 737 938 1078 1372 1474 1876 2156 2948 3283 3773 5159 6566 7546 10318 13132 15092 20636 22981 36113 37993 45962 72226 75986 91924 144452 151972 252791 265951 417923 505582 531902 835846 1011164 1063804 1671692 1861657 2545531 2925461 3723314 5091062 5850922 7446628 10182124 11701844 13031599 17818717 20478227 26063198 28000841 35637434 40956454 52126396 56001682 71274868 81912908 112003364 124731019 143347589 196005887 249462038 286695178 392011774 498924076 573390356 784023548 873117133 1372041209 1746234266 2744082418 3492468532 5488164836 9604288463 19208576926 38417153852